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Finding the Fourth Proportional to 32,500, 48,750 and 7,876

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Solution

The fourth proportional to 32,500, 48,750 and 7,876 is: 11,814

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500 : 48,750 = 7,876 : x
  2. Step 2: Convert to fraction form
    32,500/48,750 = 7,876/x
  3. Step 3: Cross multiply
    32,500x = 48,750 × 7,876
  4. Step 4: Simplify right side
    32,500x = 383,955,000
  5. Step 5: Solve for x
    x = 383,955,000/32,500
  6. Step 6: Final answer
    x = 11,814

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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.