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Finding the Fourth Proportional to 11,875.52, 16,381.08 and 7,842.38

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Solution

The fourth proportional to 11,875.52, 16,381.08 and 7,842.38 is: 10,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.52 : 16,381.08 = 7,842.38 : x
  2. Step 2: Convert to fraction form
    11,875.52/16,381.08 = 7,842.38/x
  3. Step 3: Cross multiply
    11,875.52x = 16,381.08 × 7,842.38
  4. Step 4: Simplify right side
    11,875.52x = 128,466,654.17
  5. Step 5: Solve for x
    x = 128,466,654.17/11,875.52
  6. Step 6: Final answer
    x = 10,817.77

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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.