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Finding the Fourth Proportional to 8,195.78, 11,309.98 and 4,658.77

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Solution

The fourth proportional to 8,195.78, 11,309.98 and 4,658.77 is: 6,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.78 : 11,309.98 = 4,658.77 : x
  2. Step 2: Convert to fraction form
    8,195.78/11,309.98 = 4,658.77/x
  3. Step 3: Cross multiply
    8,195.78x = 11,309.98 × 4,658.77
  4. Step 4: Simplify right side
    8,195.78x = 52,690,543.13
  5. Step 5: Solve for x
    x = 52,690,543.13/8,195.78
  6. Step 6: Final answer
    x = 6,428.98

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Half scale
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Double scale
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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.