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Finding the Fourth Proportional to 27,957.76, 38,581.59 and 15,382.24

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Solution

The fourth proportional to 27,957.76, 38,581.59 and 15,382.24 is: 21,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.76 : 38,581.59 = 15,382.24 : x
  2. Step 2: Convert to fraction form
    27,957.76/38,581.59 = 15,382.24/x
  3. Step 3: Cross multiply
    27,957.76x = 38,581.59 × 15,382.24
  4. Step 4: Simplify right side
    27,957.76x = 593,471,276.96
  5. Step 5: Solve for x
    x = 593,471,276.96/27,957.76
  6. Step 6: Final answer
    x = 21,227.43

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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.