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Finding the Fourth Proportional to 10,842.78, 14,966.55 and 6,366.42

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Solution

The fourth proportional to 10,842.78, 14,966.55 and 6,366.42 is: 8,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.78 : 14,966.55 = 6,366.42 : x
  2. Step 2: Convert to fraction form
    10,842.78/14,966.55 = 6,366.42/x
  3. Step 3: Cross multiply
    10,842.78x = 14,966.55 × 6,366.42
  4. Step 4: Simplify right side
    10,842.78x = 95,283,343.25
  5. Step 5: Solve for x
    x = 95,283,343.25/10,842.78
  6. Step 6: Final answer
    x = 8,787.72

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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.