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Finding the Fourth Proportional to 27,874, 38,470.98 and 15,937.84

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Solution

The fourth proportional to 27,874, 38,470.98 and 15,937.84 is: 21,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874 : 38,470.98 = 15,937.84 : x
  2. Step 2: Convert to fraction form
    27,874/38,470.98 = 15,937.84/x
  3. Step 3: Cross multiply
    27,874x = 38,470.98 × 15,937.84
  4. Step 4: Simplify right side
    27,874x = 613,144,323.88
  5. Step 5: Solve for x
    x = 613,144,323.88/27,874
  6. Step 6: Final answer
    x = 21,997.00

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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.