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Finding the Fourth Proportional to 8,553.60, 12,836.88 and 5,773.68

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Solution

The fourth proportional to 8,553.60, 12,836.88 and 5,773.68 is: 8,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.60 : 12,836.88 = 5,773.68 : x
  2. Step 2: Convert to fraction form
    8,553.60/12,836.88 = 5,773.68/x
  3. Step 3: Cross multiply
    8,553.60x = 12,836.88 × 5,773.68
  4. Step 4: Simplify right side
    8,553.60x = 74,116,037.32
  5. Step 5: Solve for x
    x = 74,116,037.32/8,553.60
  6. Step 6: Final answer
    x = 8,664.89

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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.