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Finding the Fourth Proportional to 10,612.68, 15,923.50 and 5,681

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Solution

The fourth proportional to 10,612.68, 15,923.50 and 5,681 is: 8,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.68 : 15,923.50 = 5,681 : x
  2. Step 2: Convert to fraction form
    10,612.68/15,923.50 = 5,681/x
  3. Step 3: Cross multiply
    10,612.68x = 15,923.50 × 5,681
  4. Step 4: Simplify right side
    10,612.68x = 90,461,403.50
  5. Step 5: Solve for x
    x = 90,461,403.50/10,612.68
  6. Step 6: Final answer
    x = 8,523.90

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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.