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Finding the Fourth Proportional to 13,978.53, 20,959.11 and 6,584.85

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Solution

The fourth proportional to 13,978.53, 20,959.11 and 6,584.85 is: 9,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.53 : 20,959.11 = 6,584.85 : x
  2. Step 2: Convert to fraction form
    13,978.53/20,959.11 = 6,584.85/x
  3. Step 3: Cross multiply
    13,978.53x = 20,959.11 × 6,584.85
  4. Step 4: Simplify right side
    13,978.53x = 138,012,595.48
  5. Step 5: Solve for x
    x = 138,012,595.48/13,978.53
  6. Step 6: Final answer
    x = 9,873.18

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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.