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Finding the Fourth Proportional to 8,569.94, 12,855.16 and 2,329.90

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Solution

The fourth proportional to 8,569.94, 12,855.16 and 2,329.90 is: 3,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.94 : 12,855.16 = 2,329.90 : x
  2. Step 2: Convert to fraction form
    8,569.94/12,855.16 = 2,329.90/x
  3. Step 3: Cross multiply
    8,569.94x = 12,855.16 × 2,329.90
  4. Step 4: Simplify right side
    8,569.94x = 29,951,237.28
  5. Step 5: Solve for x
    x = 29,951,237.28/8,569.94
  6. Step 6: Final answer
    x = 3,494.92

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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.