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Finding the Fourth Proportional to 8,750, 13,125 and 8,529.68

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Solution

The fourth proportional to 8,750, 13,125 and 8,529.68 is: 12,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750 : 13,125 = 8,529.68 : x
  2. Step 2: Convert to fraction form
    8,750/13,125 = 8,529.68/x
  3. Step 3: Cross multiply
    8,750x = 13,125 × 8,529.68
  4. Step 4: Simplify right side
    8,750x = 111,952,050
  5. Step 5: Solve for x
    x = 111,952,050/8,750
  6. Step 6: Final answer
    x = 12,794.52

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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.