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Finding the Fourth Proportional to 38,282.24, 57,424.24 and 11,987.78

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Solution

The fourth proportional to 38,282.24, 57,424.24 and 11,987.78 is: 17,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.24 : 57,424.24 = 11,987.78 : x
  2. Step 2: Convert to fraction form
    38,282.24/57,424.24 = 11,987.78/x
  3. Step 3: Cross multiply
    38,282.24x = 57,424.24 × 11,987.78
  4. Step 4: Simplify right side
    38,282.24x = 688,389,155.79
  5. Step 5: Solve for x
    x = 688,389,155.79/38,282.24
  6. Step 6: Final answer
    x = 17,981.95

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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.