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Finding the Fourth Proportional to 8,484.92, 12,658.49 and 8,025.65

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Solution

The fourth proportional to 8,484.92, 12,658.49 and 8,025.65 is: 11,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.92 : 12,658.49 = 8,025.65 : x
  2. Step 2: Convert to fraction form
    8,484.92/12,658.49 = 8,025.65/x
  3. Step 3: Cross multiply
    8,484.92x = 12,658.49 × 8,025.65
  4. Step 4: Simplify right side
    8,484.92x = 101,592,506.85
  5. Step 5: Solve for x
    x = 101,592,506.85/8,484.92
  6. Step 6: Final answer
    x = 11,973.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.