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Finding the Fourth Proportional to 9,287.91, 13,931.87 and 2,713.95

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Solution

The fourth proportional to 9,287.91, 13,931.87 and 2,713.95 is: 4,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.91 : 13,931.87 = 2,713.95 : x
  2. Step 2: Convert to fraction form
    9,287.91/13,931.87 = 2,713.95/x
  3. Step 3: Cross multiply
    9,287.91x = 13,931.87 × 2,713.95
  4. Step 4: Simplify right side
    9,287.91x = 37,810,385.02
  5. Step 5: Solve for x
    x = 37,810,385.02/9,287.91
  6. Step 6: Final answer
    x = 4,070.93

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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.