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Finding the Fourth Proportional to 10,508.76, 15,739.38 and 8,149.86

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Solution

The fourth proportional to 10,508.76, 15,739.38 and 8,149.86 is: 12,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.76 : 15,739.38 = 8,149.86 : x
  2. Step 2: Convert to fraction form
    10,508.76/15,739.38 = 8,149.86/x
  3. Step 3: Cross multiply
    10,508.76x = 15,739.38 × 8,149.86
  4. Step 4: Simplify right side
    10,508.76x = 128,273,743.49
  5. Step 5: Solve for x
    x = 128,273,743.49/10,508.76
  6. Step 6: Final answer
    x = 12,206.36

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1.5x scale

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.