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Finding the Fourth Proportional to 9,168.64, 13,752.80 and 2,243.20

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Solution

The fourth proportional to 9,168.64, 13,752.80 and 2,243.20 is: 3,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.64 : 13,752.80 = 2,243.20 : x
  2. Step 2: Convert to fraction form
    9,168.64/13,752.80 = 2,243.20/x
  3. Step 3: Cross multiply
    9,168.64x = 13,752.80 × 2,243.20
  4. Step 4: Simplify right side
    9,168.64x = 30,850,280.96
  5. Step 5: Solve for x
    x = 30,850,280.96/9,168.64
  6. Step 6: Final answer
    x = 3,364.76

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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.