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Finding the Fourth Proportional to 18,031.86, 24,885 and 9,965.43

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Solution

The fourth proportional to 18,031.86, 24,885 and 9,965.43 is: 13,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,031.86 : 24,885 = 9,965.43 : x
  2. Step 2: Convert to fraction form
    18,031.86/24,885 = 9,965.43/x
  3. Step 3: Cross multiply
    18,031.86x = 24,885 × 9,965.43
  4. Step 4: Simplify right side
    18,031.86x = 247,989,725.55
  5. Step 5: Solve for x
    x = 247,989,725.55/18,031.86
  6. Step 6: Final answer
    x = 13,752.86

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1.5x scale

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.