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Finding the Fourth Proportional to 7,650.75, 11,416.98 and 6,822.42

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Solution

The fourth proportional to 7,650.75, 11,416.98 and 6,822.42 is: 10,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.75 : 11,416.98 = 6,822.42 : x
  2. Step 2: Convert to fraction form
    7,650.75/11,416.98 = 6,822.42/x
  3. Step 3: Cross multiply
    7,650.75x = 11,416.98 × 6,822.42
  4. Step 4: Simplify right side
    7,650.75x = 77,891,432.69
  5. Step 5: Solve for x
    x = 77,891,432.69/7,650.75
  6. Step 6: Final answer
    x = 10,180.89

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Double scale
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1.5x scale

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.