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Finding the Fourth Proportional to 8,731.89, 13,097.90 and 2,491.89

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Solution

The fourth proportional to 8,731.89, 13,097.90 and 2,491.89 is: 3,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.89 : 13,097.90 = 2,491.89 : x
  2. Step 2: Convert to fraction form
    8,731.89/13,097.90 = 2,491.89/x
  3. Step 3: Cross multiply
    8,731.89x = 13,097.90 × 2,491.89
  4. Step 4: Simplify right side
    8,731.89x = 32,638,526.03
  5. Step 5: Solve for x
    x = 32,638,526.03/8,731.89
  6. Step 6: Final answer
    x = 3,737.85

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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.