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Finding the Fourth Proportional to 5,872.79, 8,787.10 and 4,121.21

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Solution

The fourth proportional to 5,872.79, 8,787.10 and 4,121.21 is: 6,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.79 : 8,787.10 = 4,121.21 : x
  2. Step 2: Convert to fraction form
    5,872.79/8,787.10 = 4,121.21/x
  3. Step 3: Cross multiply
    5,872.79x = 8,787.10 × 4,121.21
  4. Step 4: Simplify right side
    5,872.79x = 36,213,484.39
  5. Step 5: Solve for x
    x = 36,213,484.39/5,872.79
  6. Step 6: Final answer
    x = 6,166.32

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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.