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Finding the Fourth Proportional to 7,871.04, 11,822.96 and 6,640.85

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Solution

The fourth proportional to 7,871.04, 11,822.96 and 6,640.85 is: 9,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.04 : 11,822.96 = 6,640.85 : x
  2. Step 2: Convert to fraction form
    7,871.04/11,822.96 = 6,640.85/x
  3. Step 3: Cross multiply
    7,871.04x = 11,822.96 × 6,640.85
  4. Step 4: Simplify right side
    7,871.04x = 78,514,550.08
  5. Step 5: Solve for x
    x = 78,514,550.08/7,871.04
  6. Step 6: Final answer
    x = 9,975.12

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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.