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Finding the Fourth Proportional to 27,896, 38,498.28 and 15,963.20

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Solution

The fourth proportional to 27,896, 38,498.28 and 15,963.20 is: 22,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896 : 38,498.28 = 15,963.20 : x
  2. Step 2: Convert to fraction form
    27,896/38,498.28 = 15,963.20/x
  3. Step 3: Cross multiply
    27,896x = 38,498.28 × 15,963.20
  4. Step 4: Simplify right side
    27,896x = 614,555,743.30
  5. Step 5: Solve for x
    x = 614,555,743.30/27,896
  6. Step 6: Final answer
    x = 22,030.25

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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.