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Finding the Fourth Proportional to 12,895.25, 17,791.52 and 8,350.74

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Solution

The fourth proportional to 12,895.25, 17,791.52 and 8,350.74 is: 11,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895.25 : 17,791.52 = 8,350.74 : x
  2. Step 2: Convert to fraction form
    12,895.25/17,791.52 = 8,350.74/x
  3. Step 3: Cross multiply
    12,895.25x = 17,791.52 × 8,350.74
  4. Step 4: Simplify right side
    12,895.25x = 148,572,315.97
  5. Step 5: Solve for x
    x = 148,572,315.97/12,895.25
  6. Step 6: Final answer
    x = 11,521.48

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1.5x scale

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.