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Finding the Fourth Proportional to 15,680.44, 23,522 and 5,147.28

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Solution

The fourth proportional to 15,680.44, 23,522 and 5,147.28 is: 7,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680.44 : 23,522 = 5,147.28 : x
  2. Step 2: Convert to fraction form
    15,680.44/23,522 = 5,147.28/x
  3. Step 3: Cross multiply
    15,680.44x = 23,522 × 5,147.28
  4. Step 4: Simplify right side
    15,680.44x = 121,074,320.16
  5. Step 5: Solve for x
    x = 121,074,320.16/15,680.44
  6. Step 6: Final answer
    x = 7,721.36

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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.