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Finding the Fourth Proportional to 10,666.80, 15,988.20 and 5,122.80

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Solution

The fourth proportional to 10,666.80, 15,988.20 and 5,122.80 is: 7,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.80 : 15,988.20 = 5,122.80 : x
  2. Step 2: Convert to fraction form
    10,666.80/15,988.20 = 5,122.80/x
  3. Step 3: Cross multiply
    10,666.80x = 15,988.20 × 5,122.80
  4. Step 4: Simplify right side
    10,666.80x = 81,904,350.96
  5. Step 5: Solve for x
    x = 81,904,350.96/10,666.80
  6. Step 6: Final answer
    x = 7,678.44

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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.