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Finding the Fourth Proportional to 9,128.40, 13,694.40 and 7,677.60

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Solution

The fourth proportional to 9,128.40, 13,694.40 and 7,677.60 is: 11,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.40 : 13,694.40 = 7,677.60 : x
  2. Step 2: Convert to fraction form
    9,128.40/13,694.40 = 7,677.60/x
  3. Step 3: Cross multiply
    9,128.40x = 13,694.40 × 7,677.60
  4. Step 4: Simplify right side
    9,128.40x = 105,140,125.44
  5. Step 5: Solve for x
    x = 105,140,125.44/9,128.40
  6. Step 6: Final answer
    x = 11,517.91

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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.