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Finding the Fourth Proportional to 3,420.72, 5,131.08 and 823.66

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Solution

The fourth proportional to 3,420.72, 5,131.08 and 823.66 is: 1,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.72 : 5,131.08 = 823.66 : x
  2. Step 2: Convert to fraction form
    3,420.72/5,131.08 = 823.66/x
  3. Step 3: Cross multiply
    3,420.72x = 5,131.08 × 823.66
  4. Step 4: Simplify right side
    3,420.72x = 4,226,265.35
  5. Step 5: Solve for x
    x = 4,226,265.35/3,420.72
  6. Step 6: Final answer
    x = 1,235.49

Related Problems

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Half scale
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Double scale
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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.