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Finding the Fourth Proportional to 8,272.50, 12,408.75 and 7,857.24

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Solution

The fourth proportional to 8,272.50, 12,408.75 and 7,857.24 is: 11,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.50 : 12,408.75 = 7,857.24 : x
  2. Step 2: Convert to fraction form
    8,272.50/12,408.75 = 7,857.24/x
  3. Step 3: Cross multiply
    8,272.50x = 12,408.75 × 7,857.24
  4. Step 4: Simplify right side
    8,272.50x = 97,498,526.85
  5. Step 5: Solve for x
    x = 97,498,526.85/8,272.50
  6. Step 6: Final answer
    x = 11,785.86

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