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Finding the Fourth Proportional to 9,291, 13,937.80 and 2,717.66

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Solution

The fourth proportional to 9,291, 13,937.80 and 2,717.66 is: 4,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291 : 13,937.80 = 2,717.66 : x
  2. Step 2: Convert to fraction form
    9,291/13,937.80 = 2,717.66/x
  3. Step 3: Cross multiply
    9,291x = 13,937.80 × 2,717.66
  4. Step 4: Simplify right side
    9,291x = 37,878,201.55
  5. Step 5: Solve for x
    x = 37,878,201.55/9,291
  6. Step 6: Final answer
    x = 4,076.87

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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.