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Finding the Fourth Proportional to 8,849.60, 13,252.80 and 4,227.20

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Solution

The fourth proportional to 8,849.60, 13,252.80 and 4,227.20 is: 6,330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.60 : 13,252.80 = 4,227.20 : x
  2. Step 2: Convert to fraction form
    8,849.60/13,252.80 = 4,227.20/x
  3. Step 3: Cross multiply
    8,849.60x = 13,252.80 × 4,227.20
  4. Step 4: Simplify right side
    8,849.60x = 56,022,236.16
  5. Step 5: Solve for x
    x = 56,022,236.16/8,849.60
  6. Step 6: Final answer
    x = 6,330.48

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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.