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Finding the Fourth Proportional to 6,118.26, 8,430.69 and 5,787.44

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Solution

The fourth proportional to 6,118.26, 8,430.69 and 5,787.44 is: 7,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.26 : 8,430.69 = 5,787.44 : x
  2. Step 2: Convert to fraction form
    6,118.26/8,430.69 = 5,787.44/x
  3. Step 3: Cross multiply
    6,118.26x = 8,430.69 × 5,787.44
  4. Step 4: Simplify right side
    6,118.26x = 48,792,070.38
  5. Step 5: Solve for x
    x = 48,792,070.38/6,118.26
  6. Step 6: Final answer
    x = 7,974.83

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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.