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Finding the Fourth Proportional to 8,492.36, 12,737.40 and 2,252.73

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Solution

The fourth proportional to 8,492.36, 12,737.40 and 2,252.73 is: 3,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.36 : 12,737.40 = 2,252.73 : x
  2. Step 2: Convert to fraction form
    8,492.36/12,737.40 = 2,252.73/x
  3. Step 3: Cross multiply
    8,492.36x = 12,737.40 × 2,252.73
  4. Step 4: Simplify right side
    8,492.36x = 28,693,923.10
  5. Step 5: Solve for x
    x = 28,693,923.10/8,492.36
  6. Step 6: Final answer
    x = 3,378.79

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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.