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Finding the Fourth Proportional to 15,681.92, 23,508 and 5,818.64

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Solution

The fourth proportional to 15,681.92, 23,508 and 5,818.64 is: 8,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.92 : 23,508 = 5,818.64 : x
  2. Step 2: Convert to fraction form
    15,681.92/23,508 = 5,818.64/x
  3. Step 3: Cross multiply
    15,681.92x = 23,508 × 5,818.64
  4. Step 4: Simplify right side
    15,681.92x = 136,784,589.12
  5. Step 5: Solve for x
    x = 136,784,589.12/15,681.92
  6. Step 6: Final answer
    x = 8,722.44

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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.