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Finding the Fourth Proportional to 9,125.87, 12,594.69 and 5,147.96

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Solution

The fourth proportional to 9,125.87, 12,594.69 and 5,147.96 is: 7,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.87 : 12,594.69 = 5,147.96 : x
  2. Step 2: Convert to fraction form
    9,125.87/12,594.69 = 5,147.96/x
  3. Step 3: Cross multiply
    9,125.87x = 12,594.69 × 5,147.96
  4. Step 4: Simplify right side
    9,125.87x = 64,836,897.36
  5. Step 5: Solve for x
    x = 64,836,897.36/9,125.87
  6. Step 6: Final answer
    x = 7,104.74

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