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Finding the Fourth Proportional to 14,901.50, 22,318.22 and 7,115.78

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Solution

The fourth proportional to 14,901.50, 22,318.22 and 7,115.78 is: 10,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.50 : 22,318.22 = 7,115.78 : x
  2. Step 2: Convert to fraction form
    14,901.50/22,318.22 = 7,115.78/x
  3. Step 3: Cross multiply
    14,901.50x = 22,318.22 × 7,115.78
  4. Step 4: Simplify right side
    14,901.50x = 158,811,543.51
  5. Step 5: Solve for x
    x = 158,811,543.51/14,901.50
  6. Step 6: Final answer
    x = 10,657.42

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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.