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Finding the Fourth Proportional to 27,281, 37,641.30 and 15,341.96

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Solution

The fourth proportional to 27,281, 37,641.30 and 15,341.96 is: 21,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,281 : 37,641.30 = 15,341.96 : x
  2. Step 2: Convert to fraction form
    27,281/37,641.30 = 15,341.96/x
  3. Step 3: Cross multiply
    27,281x = 37,641.30 × 15,341.96
  4. Step 4: Simplify right side
    27,281x = 577,491,318.95
  5. Step 5: Solve for x
    x = 577,491,318.95/27,281
  6. Step 6: Final answer
    x = 21,168.26

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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.