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Finding the Fourth Proportional to 11,418.95, 15,747.95 and 7,170.41

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Solution

The fourth proportional to 11,418.95, 15,747.95 and 7,170.41 is: 9,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.95 : 15,747.95 = 7,170.41 : x
  2. Step 2: Convert to fraction form
    11,418.95/15,747.95 = 7,170.41/x
  3. Step 3: Cross multiply
    11,418.95x = 15,747.95 × 7,170.41
  4. Step 4: Simplify right side
    11,418.95x = 112,919,258.16
  5. Step 5: Solve for x
    x = 112,919,258.16/11,418.95
  6. Step 6: Final answer
    x = 9,888.76

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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.