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Finding the Fourth Proportional to 15,140, 22,720.20 and 5,279.24

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Solution

The fourth proportional to 15,140, 22,720.20 and 5,279.24 is: 7,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140 : 22,720.20 = 5,279.24 : x
  2. Step 2: Convert to fraction form
    15,140/22,720.20 = 5,279.24/x
  3. Step 3: Cross multiply
    15,140x = 22,720.20 × 5,279.24
  4. Step 4: Simplify right side
    15,140x = 119,945,388.65
  5. Step 5: Solve for x
    x = 119,945,388.65/15,140
  6. Step 6: Final answer
    x = 7,922.42

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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.