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Finding the Fourth Proportional to 8,130.50, 12,195.78 and 1,974.50

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Solution

The fourth proportional to 8,130.50, 12,195.78 and 1,974.50 is: 2,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.50 : 12,195.78 = 1,974.50 : x
  2. Step 2: Convert to fraction form
    8,130.50/12,195.78 = 1,974.50/x
  3. Step 3: Cross multiply
    8,130.50x = 12,195.78 × 1,974.50
  4. Step 4: Simplify right side
    8,130.50x = 24,080,567.61
  5. Step 5: Solve for x
    x = 24,080,567.61/8,130.50
  6. Step 6: Final answer
    x = 2,961.76

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.