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Finding the Fourth Proportional to 27,874.41, 38,455.71 and 15,931.32

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Solution

The fourth proportional to 27,874.41, 38,455.71 and 15,931.32 is: 21,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.41 : 38,455.71 = 15,931.32 : x
  2. Step 2: Convert to fraction form
    27,874.41/38,455.71 = 15,931.32/x
  3. Step 3: Cross multiply
    27,874.41x = 38,455.71 × 15,931.32
  4. Step 4: Simplify right side
    27,874.41x = 612,650,221.84
  5. Step 5: Solve for x
    x = 612,650,221.84/27,874.41
  6. Step 6: Final answer
    x = 21,978.95

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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.