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Finding the Fourth Proportional to 8,510.78, 12,766.18 and 2,667.85

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Solution

The fourth proportional to 8,510.78, 12,766.18 and 2,667.85 is: 4,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.78 : 12,766.18 = 2,667.85 : x
  2. Step 2: Convert to fraction form
    8,510.78/12,766.18 = 2,667.85/x
  3. Step 3: Cross multiply
    8,510.78x = 12,766.18 × 2,667.85
  4. Step 4: Simplify right side
    8,510.78x = 34,058,214.73
  5. Step 5: Solve for x
    x = 34,058,214.73/8,510.78
  6. Step 6: Final answer
    x = 4,001.77

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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.