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Finding the Fourth Proportional to 27,478.38, 37,925.84 and 15,542.22

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Solution

The fourth proportional to 27,478.38, 37,925.84 and 15,542.22 is: 21,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.38 : 37,925.84 = 15,542.22 : x
  2. Step 2: Convert to fraction form
    27,478.38/37,925.84 = 15,542.22/x
  3. Step 3: Cross multiply
    27,478.38x = 37,925.84 × 15,542.22
  4. Step 4: Simplify right side
    27,478.38x = 589,451,748.96
  5. Step 5: Solve for x
    x = 589,451,748.96/27,478.38
  6. Step 6: Final answer
    x = 21,451.47

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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.