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Finding the Fourth Proportional to 6,657.91, 9,191.25 and 4,140.83

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Solution

The fourth proportional to 6,657.91, 9,191.25 and 4,140.83 is: 5,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.91 : 9,191.25 = 4,140.83 : x
  2. Step 2: Convert to fraction form
    6,657.91/9,191.25 = 4,140.83/x
  3. Step 3: Cross multiply
    6,657.91x = 9,191.25 × 4,140.83
  4. Step 4: Simplify right side
    6,657.91x = 38,059,431.55
  5. Step 5: Solve for x
    x = 38,059,431.55/6,657.91
  6. Step 6: Final answer
    x = 5,716.42

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Half scale
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Double scale
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Similar ratio
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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.