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Finding the Fourth Proportional to 8,322.93, 11,487.96 and 4,787.28

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Solution

The fourth proportional to 8,322.93, 11,487.96 and 4,787.28 is: 6,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.93 : 11,487.96 = 4,787.28 : x
  2. Step 2: Convert to fraction form
    8,322.93/11,487.96 = 4,787.28/x
  3. Step 3: Cross multiply
    8,322.93x = 11,487.96 × 4,787.28
  4. Step 4: Simplify right side
    8,322.93x = 54,996,081.15
  5. Step 5: Solve for x
    x = 54,996,081.15/8,322.93
  6. Step 6: Final answer
    x = 6,607.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.