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Finding the Fourth Proportional to 10,254.71, 14,149.01 and 5,778.47

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Solution

The fourth proportional to 10,254.71, 14,149.01 and 5,778.47 is: 7,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.71 : 14,149.01 = 5,778.47 : x
  2. Step 2: Convert to fraction form
    10,254.71/14,149.01 = 5,778.47/x
  3. Step 3: Cross multiply
    10,254.71x = 14,149.01 × 5,778.47
  4. Step 4: Simplify right side
    10,254.71x = 81,759,530.18
  5. Step 5: Solve for x
    x = 81,759,530.18/10,254.71
  6. Step 6: Final answer
    x = 7,972.88

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