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Finding the Fourth Proportional to 8,966, 13,451.16 and 2,810

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Solution

The fourth proportional to 8,966, 13,451.16 and 2,810 is: 4,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966 : 13,451.16 = 2,810 : x
  2. Step 2: Convert to fraction form
    8,966/13,451.16 = 2,810/x
  3. Step 3: Cross multiply
    8,966x = 13,451.16 × 2,810
  4. Step 4: Simplify right side
    8,966x = 37,797,759.60
  5. Step 5: Solve for x
    x = 37,797,759.60/8,966
  6. Step 6: Final answer
    x = 4,215.68

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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.