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Finding the Fourth Proportional to 12,902.60, 17,813.04 and 8,424.38

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Solution

The fourth proportional to 12,902.60, 17,813.04 and 8,424.38 is: 11,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.60 : 17,813.04 = 8,424.38 : x
  2. Step 2: Convert to fraction form
    12,902.60/17,813.04 = 8,424.38/x
  3. Step 3: Cross multiply
    12,902.60x = 17,813.04 × 8,424.38
  4. Step 4: Simplify right side
    12,902.60x = 150,063,817.92
  5. Step 5: Solve for x
    x = 150,063,817.92/12,902.60
  6. Step 6: Final answer
    x = 11,630.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.