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Finding the Fourth Proportional to 8,337.87, 12,510.32 and 3,655.47

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Solution

The fourth proportional to 8,337.87, 12,510.32 and 3,655.47 is: 5,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.87 : 12,510.32 = 3,655.47 : x
  2. Step 2: Convert to fraction form
    8,337.87/12,510.32 = 3,655.47/x
  3. Step 3: Cross multiply
    8,337.87x = 12,510.32 × 3,655.47
  4. Step 4: Simplify right side
    8,337.87x = 45,731,099.45
  5. Step 5: Solve for x
    x = 45,731,099.45/8,337.87
  6. Step 6: Final answer
    x = 5,484.75

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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.