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Finding the Fourth Proportional to 3,755, 5,180.10 and 2,429.12

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Solution

The fourth proportional to 3,755, 5,180.10 and 2,429.12 is: 3,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755 : 5,180.10 = 2,429.12 : x
  2. Step 2: Convert to fraction form
    3,755/5,180.10 = 2,429.12/x
  3. Step 3: Cross multiply
    3,755x = 5,180.10 × 2,429.12
  4. Step 4: Simplify right side
    3,755x = 12,583,084.51
  5. Step 5: Solve for x
    x = 12,583,084.51/3,755
  6. Step 6: Final answer
    x = 3,351.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.