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Finding the Fourth Proportional to 15,142.75, 22,714.22 and 5,281.99

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Solution

The fourth proportional to 15,142.75, 22,714.22 and 5,281.99 is: 7,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.75 : 22,714.22 = 5,281.99 : x
  2. Step 2: Convert to fraction form
    15,142.75/22,714.22 = 5,281.99/x
  3. Step 3: Cross multiply
    15,142.75x = 22,714.22 × 5,281.99
  4. Step 4: Simplify right side
    15,142.75x = 119,976,239.32
  5. Step 5: Solve for x
    x = 119,976,239.32/15,142.75
  6. Step 6: Final answer
    x = 7,923.02

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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.