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Finding the Fourth Proportional to 13,543.14, 20,322 and 6,147.06

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Solution

The fourth proportional to 13,543.14, 20,322 and 6,147.06 is: 9,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.14 : 20,322 = 6,147.06 : x
  2. Step 2: Convert to fraction form
    13,543.14/20,322 = 6,147.06/x
  3. Step 3: Cross multiply
    13,543.14x = 20,322 × 6,147.06
  4. Step 4: Simplify right side
    13,543.14x = 124,920,553.32
  5. Step 5: Solve for x
    x = 124,920,553.32/13,543.14
  6. Step 6: Final answer
    x = 9,223.90

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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.