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Finding the Fourth Proportional to 8,833.50, 13,228.38 and 6,487.95

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Solution

The fourth proportional to 8,833.50, 13,228.38 and 6,487.95 is: 9,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.50 : 13,228.38 = 6,487.95 : x
  2. Step 2: Convert to fraction form
    8,833.50/13,228.38 = 6,487.95/x
  3. Step 3: Cross multiply
    8,833.50x = 13,228.38 × 6,487.95
  4. Step 4: Simplify right side
    8,833.50x = 85,825,026.21
  5. Step 5: Solve for x
    x = 85,825,026.21/8,833.50
  6. Step 6: Final answer
    x = 9,715.85

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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.