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Finding the Fourth Proportional to 3,431.02, 5,146.53 and 833.96

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Solution

The fourth proportional to 3,431.02, 5,146.53 and 833.96 is: 1,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.02 : 5,146.53 = 833.96 : x
  2. Step 2: Convert to fraction form
    3,431.02/5,146.53 = 833.96/x
  3. Step 3: Cross multiply
    3,431.02x = 5,146.53 × 833.96
  4. Step 4: Simplify right side
    3,431.02x = 4,291,974.43
  5. Step 5: Solve for x
    x = 4,291,974.43/3,431.02
  6. Step 6: Final answer
    x = 1,250.93

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,432.02, 5,148.03 and 834.96
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.