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Finding the Fourth Proportional to 27,670.88, 38,189 and 15,407.52

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Solution

The fourth proportional to 27,670.88, 38,189 and 15,407.52 is: 21,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.88 : 38,189 = 15,407.52 : x
  2. Step 2: Convert to fraction form
    27,670.88/38,189 = 15,407.52/x
  3. Step 3: Cross multiply
    27,670.88x = 38,189 × 15,407.52
  4. Step 4: Simplify right side
    27,670.88x = 588,397,781.28
  5. Step 5: Solve for x
    x = 588,397,781.28/27,670.88
  6. Step 6: Final answer
    x = 21,264.15

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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.