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Finding the Fourth Proportional to 12,595.75, 17,378.07 and 8,111.59

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Solution

The fourth proportional to 12,595.75, 17,378.07 and 8,111.59 is: 11,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.75 : 17,378.07 = 8,111.59 : x
  2. Step 2: Convert to fraction form
    12,595.75/17,378.07 = 8,111.59/x
  3. Step 3: Cross multiply
    12,595.75x = 17,378.07 × 8,111.59
  4. Step 4: Simplify right side
    12,595.75x = 140,963,778.83
  5. Step 5: Solve for x
    x = 140,963,778.83/12,595.75
  6. Step 6: Final answer
    x = 11,191.38

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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.