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Finding the Fourth Proportional to 6,874.72, 9,482.21 and 6,309.38

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Solution

The fourth proportional to 6,874.72, 9,482.21 and 6,309.38 is: 8,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.72 : 9,482.21 = 6,309.38 : x
  2. Step 2: Convert to fraction form
    6,874.72/9,482.21 = 6,309.38/x
  3. Step 3: Cross multiply
    6,874.72x = 9,482.21 × 6,309.38
  4. Step 4: Simplify right side
    6,874.72x = 59,826,833.02
  5. Step 5: Solve for x
    x = 59,826,833.02/6,874.72
  6. Step 6: Final answer
    x = 8,702.44

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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.