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Finding the Fourth Proportional to 8,355.78, 12,534.75 and 2,512.98

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Solution

The fourth proportional to 8,355.78, 12,534.75 and 2,512.98 is: 3,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.78 : 12,534.75 = 2,512.98 : x
  2. Step 2: Convert to fraction form
    8,355.78/12,534.75 = 2,512.98/x
  3. Step 3: Cross multiply
    8,355.78x = 12,534.75 × 2,512.98
  4. Step 4: Simplify right side
    8,355.78x = 31,499,576.06
  5. Step 5: Solve for x
    x = 31,499,576.06/8,355.78
  6. Step 6: Final answer
    x = 3,769.79

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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.