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Finding the Fourth Proportional to 15,249.67, 22,856.28 and 8,666.80

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Solution

The fourth proportional to 15,249.67, 22,856.28 and 8,666.80 is: 12,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,249.67 : 22,856.28 = 8,666.80 : x
  2. Step 2: Convert to fraction form
    15,249.67/22,856.28 = 8,666.80/x
  3. Step 3: Cross multiply
    15,249.67x = 22,856.28 × 8,666.80
  4. Step 4: Simplify right side
    15,249.67x = 198,090,807.50
  5. Step 5: Solve for x
    x = 198,090,807.50/15,249.67
  6. Step 6: Final answer
    x = 12,989.84

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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.