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Finding the Fourth Proportional to 12,951.30, 17,862.48 and 8,409

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Solution

The fourth proportional to 12,951.30, 17,862.48 and 8,409 is: 11,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.30 : 17,862.48 = 8,409 : x
  2. Step 2: Convert to fraction form
    12,951.30/17,862.48 = 8,409/x
  3. Step 3: Cross multiply
    12,951.30x = 17,862.48 × 8,409
  4. Step 4: Simplify right side
    12,951.30x = 150,205,594.32
  5. Step 5: Solve for x
    x = 150,205,594.32/12,951.30
  6. Step 6: Final answer
    x = 11,597.72

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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.