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Finding the Fourth Proportional to 11,422.14, 15,761 and 6,385.74

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Solution

The fourth proportional to 11,422.14, 15,761 and 6,385.74 is: 8,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.14 : 15,761 = 6,385.74 : x
  2. Step 2: Convert to fraction form
    11,422.14/15,761 = 6,385.74/x
  3. Step 3: Cross multiply
    11,422.14x = 15,761 × 6,385.74
  4. Step 4: Simplify right side
    11,422.14x = 100,645,648.14
  5. Step 5: Solve for x
    x = 100,645,648.14/11,422.14
  6. Step 6: Final answer
    x = 8,811.45

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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.