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Finding the Fourth Proportional to 8,569.12, 12,849.04 and 3,948

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Solution

The fourth proportional to 8,569.12, 12,849.04 and 3,948 is: 5,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.12 : 12,849.04 = 3,948 : x
  2. Step 2: Convert to fraction form
    8,569.12/12,849.04 = 3,948/x
  3. Step 3: Cross multiply
    8,569.12x = 12,849.04 × 3,948
  4. Step 4: Simplify right side
    8,569.12x = 50,728,009.92
  5. Step 5: Solve for x
    x = 50,728,009.92/8,569.12
  6. Step 6: Final answer
    x = 5,919.86

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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.