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Finding the Fourth Proportional to 15,613.20, 23,415 and 5,753.36

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Solution

The fourth proportional to 15,613.20, 23,415 and 5,753.36 is: 8,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.20 : 23,415 = 5,753.36 : x
  2. Step 2: Convert to fraction form
    15,613.20/23,415 = 5,753.36/x
  3. Step 3: Cross multiply
    15,613.20x = 23,415 × 5,753.36
  4. Step 4: Simplify right side
    15,613.20x = 134,714,924.40
  5. Step 5: Solve for x
    x = 134,714,924.40/15,613.20
  6. Step 6: Final answer
    x = 8,628.27

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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.