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Finding the Fourth Proportional to 8,731.08, 13,089.33 and 8,039.16

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Solution

The fourth proportional to 8,731.08, 13,089.33 and 8,039.16 is: 12,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.08 : 13,089.33 = 8,039.16 : x
  2. Step 2: Convert to fraction form
    8,731.08/13,089.33 = 8,039.16/x
  3. Step 3: Cross multiply
    8,731.08x = 13,089.33 × 8,039.16
  4. Step 4: Simplify right side
    8,731.08x = 105,227,218.16
  5. Step 5: Solve for x
    x = 105,227,218.16/8,731.08
  6. Step 6: Final answer
    x = 12,052.03

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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.