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Finding the Fourth Proportional to 8,778.99, 12,123.09 and 5,640.65

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Solution

The fourth proportional to 8,778.99, 12,123.09 and 5,640.65 is: 7,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.99 : 12,123.09 = 5,640.65 : x
  2. Step 2: Convert to fraction form
    8,778.99/12,123.09 = 5,640.65/x
  3. Step 3: Cross multiply
    8,778.99x = 12,123.09 × 5,640.65
  4. Step 4: Simplify right side
    8,778.99x = 68,382,046.99
  5. Step 5: Solve for x
    x = 68,382,046.99/8,778.99
  6. Step 6: Final answer
    x = 7,789.28

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1.5x scale

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.