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Finding the Fourth Proportional to 11,678.75, 16,116.68 and 7,487

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Solution

The fourth proportional to 11,678.75, 16,116.68 and 7,487 is: 10,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.75 : 16,116.68 = 7,487 : x
  2. Step 2: Convert to fraction form
    11,678.75/16,116.68 = 7,487/x
  3. Step 3: Cross multiply
    11,678.75x = 16,116.68 × 7,487
  4. Step 4: Simplify right side
    11,678.75x = 120,665,583.16
  5. Step 5: Solve for x
    x = 120,665,583.16/11,678.75
  6. Step 6: Final answer
    x = 10,332.06

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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.