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Finding the Fourth Proportional to 8,404.16, 12,605.16 and 2,857.28

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Solution

The fourth proportional to 8,404.16, 12,605.16 and 2,857.28 is: 4,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.16 : 12,605.16 = 2,857.28 : x
  2. Step 2: Convert to fraction form
    8,404.16/12,605.16 = 2,857.28/x
  3. Step 3: Cross multiply
    8,404.16x = 12,605.16 × 2,857.28
  4. Step 4: Simplify right side
    8,404.16x = 36,016,471.56
  5. Step 5: Solve for x
    x = 36,016,471.56/8,404.16
  6. Step 6: Final answer
    x = 4,285.55

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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.