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Finding the Fourth Proportional to 8,737.68, 13,102.20 and 3,190.80

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Solution

The fourth proportional to 8,737.68, 13,102.20 and 3,190.80 is: 4,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.68 : 13,102.20 = 3,190.80 : x
  2. Step 2: Convert to fraction form
    8,737.68/13,102.20 = 3,190.80/x
  3. Step 3: Cross multiply
    8,737.68x = 13,102.20 × 3,190.80
  4. Step 4: Simplify right side
    8,737.68x = 41,806,499.76
  5. Step 5: Solve for x
    x = 41,806,499.76/8,737.68
  6. Step 6: Final answer
    x = 4,784.62

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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.