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Finding the Fourth Proportional to 15,079.92, 22,590.45 and 9,870

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Solution

The fourth proportional to 15,079.92, 22,590.45 and 9,870 is: 14,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,079.92 : 22,590.45 = 9,870 : x
  2. Step 2: Convert to fraction form
    15,079.92/22,590.45 = 9,870/x
  3. Step 3: Cross multiply
    15,079.92x = 22,590.45 × 9,870
  4. Step 4: Simplify right side
    15,079.92x = 222,967,741.50
  5. Step 5: Solve for x
    x = 222,967,741.50/15,079.92
  6. Step 6: Final answer
    x = 14,785.74

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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.