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Finding the Fourth Proportional to 13,385.11, 20,113.98 and 7,149.46

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Solution

The fourth proportional to 13,385.11, 20,113.98 and 7,149.46 is: 10,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.11 : 20,113.98 = 7,149.46 : x
  2. Step 2: Convert to fraction form
    13,385.11/20,113.98 = 7,149.46/x
  3. Step 3: Cross multiply
    13,385.11x = 20,113.98 × 7,149.46
  4. Step 4: Simplify right side
    13,385.11x = 143,804,095.45
  5. Step 5: Solve for x
    x = 143,804,095.45/13,385.11
  6. Step 6: Final answer
    x = 10,743.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.