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Finding the Fourth Proportional to 12,759.81, 17,612 and 8,283.30

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Solution

The fourth proportional to 12,759.81, 17,612 and 8,283.30 is: 11,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.81 : 17,612 = 8,283.30 : x
  2. Step 2: Convert to fraction form
    12,759.81/17,612 = 8,283.30/x
  3. Step 3: Cross multiply
    12,759.81x = 17,612 × 8,283.30
  4. Step 4: Simplify right side
    12,759.81x = 145,885,479.60
  5. Step 5: Solve for x
    x = 145,885,479.60/12,759.81
  6. Step 6: Final answer
    x = 11,433.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.