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Finding the Fourth Proportional to 8,412.70, 12,605.16 and 5,115.82

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Solution

The fourth proportional to 8,412.70, 12,605.16 and 5,115.82 is: 7,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.70 : 12,605.16 = 5,115.82 : x
  2. Step 2: Convert to fraction form
    8,412.70/12,605.16 = 5,115.82/x
  3. Step 3: Cross multiply
    8,412.70x = 12,605.16 × 5,115.82
  4. Step 4: Simplify right side
    8,412.70x = 64,485,729.63
  5. Step 5: Solve for x
    x = 64,485,729.63/8,412.70
  6. Step 6: Final answer
    x = 7,665.28

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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.