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Finding the Fourth Proportional to 8,808.64, 13,200.64 and 4,123.60

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Solution

The fourth proportional to 8,808.64, 13,200.64 and 4,123.60 is: 6,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,808.64 : 13,200.64 = 4,123.60 : x
  2. Step 2: Convert to fraction form
    8,808.64/13,200.64 = 4,123.60/x
  3. Step 3: Cross multiply
    8,808.64x = 13,200.64 × 4,123.60
  4. Step 4: Simplify right side
    8,808.64x = 54,434,159.10
  5. Step 5: Solve for x
    x = 54,434,159.10/8,808.64
  6. Step 6: Final answer
    x = 6,179.63

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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.