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Finding the Fourth Proportional to 8,731.97, 13,038.56 and 8,238.64

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Solution

The fourth proportional to 8,731.97, 13,038.56 and 8,238.64 is: 12,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.97 : 13,038.56 = 8,238.64 : x
  2. Step 2: Convert to fraction form
    8,731.97/13,038.56 = 8,238.64/x
  3. Step 3: Cross multiply
    8,731.97x = 13,038.56 × 8,238.64
  4. Step 4: Simplify right side
    8,731.97x = 107,420,034.55
  5. Step 5: Solve for x
    x = 107,420,034.55/8,731.97
  6. Step 6: Final answer
    x = 12,301.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.