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Finding the Fourth Proportional to 27,693, 38,216.50 and 15,117.88

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Solution

The fourth proportional to 27,693, 38,216.50 and 15,117.88 is: 20,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693 : 38,216.50 = 15,117.88 : x
  2. Step 2: Convert to fraction form
    27,693/38,216.50 = 15,117.88/x
  3. Step 3: Cross multiply
    27,693x = 38,216.50 × 15,117.88
  4. Step 4: Simplify right side
    27,693x = 577,752,461.02
  5. Step 5: Solve for x
    x = 577,752,461.02/27,693
  6. Step 6: Final answer
    x = 20,862.76

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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.