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Finding the Fourth Proportional to 7,181.83, 9,915.74 and 6,423.24

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Solution

The fourth proportional to 7,181.83, 9,915.74 and 6,423.24 is: 8,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.83 : 9,915.74 = 6,423.24 : x
  2. Step 2: Convert to fraction form
    7,181.83/9,915.74 = 6,423.24/x
  3. Step 3: Cross multiply
    7,181.83x = 9,915.74 × 6,423.24
  4. Step 4: Simplify right side
    7,181.83x = 63,691,177.80
  5. Step 5: Solve for x
    x = 63,691,177.80/7,181.83
  6. Step 6: Final answer
    x = 8,868.38

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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.