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Finding the Fourth Proportional to 8,484.20, 12,724.20 and 2,937.72

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Solution

The fourth proportional to 8,484.20, 12,724.20 and 2,937.72 is: 4,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.20 : 12,724.20 = 2,937.72 : x
  2. Step 2: Convert to fraction form
    8,484.20/12,724.20 = 2,937.72/x
  3. Step 3: Cross multiply
    8,484.20x = 12,724.20 × 2,937.72
  4. Step 4: Simplify right side
    8,484.20x = 37,380,136.82
  5. Step 5: Solve for x
    x = 37,380,136.82/8,484.20
  6. Step 6: Final answer
    x = 4,405.85

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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.