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Finding the Fourth Proportional to 3,415.02, 5,122.53 and 949.85

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Solution

The fourth proportional to 3,415.02, 5,122.53 and 949.85 is: 1,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.02 : 5,122.53 = 949.85 : x
  2. Step 2: Convert to fraction form
    3,415.02/5,122.53 = 949.85/x
  3. Step 3: Cross multiply
    3,415.02x = 5,122.53 × 949.85
  4. Step 4: Simplify right side
    3,415.02x = 4,865,609.51
  5. Step 5: Solve for x
    x = 4,865,609.51/3,415.02
  6. Step 6: Final answer
    x = 1,424.77

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,416.02, 5,124.03 and 950.85
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.