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Finding the Fourth Proportional to 15,781.32, 23,679 and 8,383.98

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Solution

The fourth proportional to 15,781.32, 23,679 and 8,383.98 is: 12,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.32 : 23,679 = 8,383.98 : x
  2. Step 2: Convert to fraction form
    15,781.32/23,679 = 8,383.98/x
  3. Step 3: Cross multiply
    15,781.32x = 23,679 × 8,383.98
  4. Step 4: Simplify right side
    15,781.32x = 198,524,262.42
  5. Step 5: Solve for x
    x = 198,524,262.42/15,781.32
  6. Step 6: Final answer
    x = 12,579.70

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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.