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Finding the Fourth Proportional to 8,942.40, 12,350.88 and 8,424

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Solution

The fourth proportional to 8,942.40, 12,350.88 and 8,424 is: 11,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.40 : 12,350.88 = 8,424 : x
  2. Step 2: Convert to fraction form
    8,942.40/12,350.88 = 8,424/x
  3. Step 3: Cross multiply
    8,942.40x = 12,350.88 × 8,424
  4. Step 4: Simplify right side
    8,942.40x = 104,043,813.12
  5. Step 5: Solve for x
    x = 104,043,813.12/8,942.40
  6. Step 6: Final answer
    x = 11,634.89

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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.