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Finding the Fourth Proportional to 9,112.80, 12,493.65 and 8,946.72

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Solution

The fourth proportional to 9,112.80, 12,493.65 and 8,946.72 is: 12,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.80 : 12,493.65 = 8,946.72 : x
  2. Step 2: Convert to fraction form
    9,112.80/12,493.65 = 8,946.72/x
  3. Step 3: Cross multiply
    9,112.80x = 12,493.65 × 8,946.72
  4. Step 4: Simplify right side
    9,112.80x = 111,777,143.59
  5. Step 5: Solve for x
    x = 111,777,143.59/9,112.80
  6. Step 6: Final answer
    x = 12,265.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.