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Finding the Fourth Proportional to 7,448, 11,173.60 and 2,517.76

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Solution

The fourth proportional to 7,448, 11,173.60 and 2,517.76 is: 3,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448 : 11,173.60 = 2,517.76 : x
  2. Step 2: Convert to fraction form
    7,448/11,173.60 = 2,517.76/x
  3. Step 3: Cross multiply
    7,448x = 11,173.60 × 2,517.76
  4. Step 4: Simplify right side
    7,448x = 28,132,443.14
  5. Step 5: Solve for x
    x = 28,132,443.14/7,448
  6. Step 6: Final answer
    x = 3,777.18

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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.