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Finding the Fourth Proportional to 9,187.88, 13,781.91 and 2,947.91

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Solution

The fourth proportional to 9,187.88, 13,781.91 and 2,947.91 is: 4,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.88 : 13,781.91 = 2,947.91 : x
  2. Step 2: Convert to fraction form
    9,187.88/13,781.91 = 2,947.91/x
  3. Step 3: Cross multiply
    9,187.88x = 13,781.91 × 2,947.91
  4. Step 4: Simplify right side
    9,187.88x = 40,627,746.66
  5. Step 5: Solve for x
    x = 40,627,746.66/9,187.88
  6. Step 6: Final answer
    x = 4,421.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.