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Finding the Fourth Proportional to 5,714.96, 8,560.84 and 4,787.92

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Solution

The fourth proportional to 5,714.96, 8,560.84 and 4,787.92 is: 7,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.96 : 8,560.84 = 4,787.92 : x
  2. Step 2: Convert to fraction form
    5,714.96/8,560.84 = 4,787.92/x
  3. Step 3: Cross multiply
    5,714.96x = 8,560.84 × 4,787.92
  4. Step 4: Simplify right side
    5,714.96x = 40,988,617.05
  5. Step 5: Solve for x
    x = 40,988,617.05/5,714.96
  6. Step 6: Final answer
    x = 7,172.16

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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.