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Finding the Fourth Proportional to 15,704, 21,670.56 and 8,630.24

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Solution

The fourth proportional to 15,704, 21,670.56 and 8,630.24 is: 11,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704 : 21,670.56 = 8,630.24 : x
  2. Step 2: Convert to fraction form
    15,704/21,670.56 = 8,630.24/x
  3. Step 3: Cross multiply
    15,704x = 21,670.56 × 8,630.24
  4. Step 4: Simplify right side
    15,704x = 187,022,133.73
  5. Step 5: Solve for x
    x = 187,022,133.73/15,704
  6. Step 6: Final answer
    x = 11,909.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.