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Finding the Fourth Proportional to 38,761.76, 58,142.87 and 13,802.78

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Solution

The fourth proportional to 38,761.76, 58,142.87 and 13,802.78 is: 20,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,761.76 : 58,142.87 = 13,802.78 : x
  2. Step 2: Convert to fraction form
    38,761.76/58,142.87 = 13,802.78/x
  3. Step 3: Cross multiply
    38,761.76x = 58,142.87 × 13,802.78
  4. Step 4: Simplify right side
    38,761.76x = 802,533,243.18
  5. Step 5: Solve for x
    x = 802,533,243.18/38,761.76
  6. Step 6: Final answer
    x = 20,704.25

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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.