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Finding the Fourth Proportional to 8,669.61, 13,006.80 and 2,825.46

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Solution

The fourth proportional to 8,669.61, 13,006.80 and 2,825.46 is: 4,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.61 : 13,006.80 = 2,825.46 : x
  2. Step 2: Convert to fraction form
    8,669.61/13,006.80 = 2,825.46/x
  3. Step 3: Cross multiply
    8,669.61x = 13,006.80 × 2,825.46
  4. Step 4: Simplify right side
    8,669.61x = 36,750,193.13
  5. Step 5: Solve for x
    x = 36,750,193.13/8,669.61
  6. Step 6: Final answer
    x = 4,238.97

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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.