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Finding the Fourth Proportional to 13,640.49, 18,823.98 and 7,672.11

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Solution

The fourth proportional to 13,640.49, 18,823.98 and 7,672.11 is: 10,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.49 : 18,823.98 = 7,672.11 : x
  2. Step 2: Convert to fraction form
    13,640.49/18,823.98 = 7,672.11/x
  3. Step 3: Cross multiply
    13,640.49x = 18,823.98 × 7,672.11
  4. Step 4: Simplify right side
    13,640.49x = 144,419,645.20
  5. Step 5: Solve for x
    x = 144,419,645.20/13,640.49
  6. Step 6: Final answer
    x = 10,587.57

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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.