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Finding the Fourth Proportional to 8,806.67, 13,207.50 and 3,875.25

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Solution

The fourth proportional to 8,806.67, 13,207.50 and 3,875.25 is: 5,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806.67 : 13,207.50 = 3,875.25 : x
  2. Step 2: Convert to fraction form
    8,806.67/13,207.50 = 3,875.25/x
  3. Step 3: Cross multiply
    8,806.67x = 13,207.50 × 3,875.25
  4. Step 4: Simplify right side
    8,806.67x = 51,182,364.38
  5. Step 5: Solve for x
    x = 51,182,364.38/8,806.67
  6. Step 6: Final answer
    x = 5,811.78

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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.