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Finding the Fourth Proportional to 27,039.91, 40,565.79 and 10,407.78

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Solution

The fourth proportional to 27,039.91, 40,565.79 and 10,407.78 is: 15,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,039.91 : 40,565.79 = 10,407.78 : x
  2. Step 2: Convert to fraction form
    27,039.91/40,565.79 = 10,407.78/x
  3. Step 3: Cross multiply
    27,039.91x = 40,565.79 × 10,407.78
  4. Step 4: Simplify right side
    27,039.91x = 422,199,817.85
  5. Step 5: Solve for x
    x = 422,199,817.85/27,039.91
  6. Step 6: Final answer
    x = 15,613.95

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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.