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Finding the Fourth Proportional to 10,854, 16,280.99 and 7,129.29

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Solution

The fourth proportional to 10,854, 16,280.99 and 7,129.29 is: 10,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 16,280.99 = 7,129.29 : x
  2. Step 2: Convert to fraction form
    10,854/16,280.99 = 7,129.29/x
  3. Step 3: Cross multiply
    10,854x = 16,280.99 × 7,129.29
  4. Step 4: Simplify right side
    10,854x = 116,071,863.55
  5. Step 5: Solve for x
    x = 116,071,863.55/10,854
  6. Step 6: Final answer
    x = 10,693.93

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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.