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Finding the Fourth Proportional to 13,959.30, 20,949.93 and 12,319.14

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Solution

The fourth proportional to 13,959.30, 20,949.93 and 12,319.14 is: 18,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.30 : 20,949.93 = 12,319.14 : x
  2. Step 2: Convert to fraction form
    13,959.30/20,949.93 = 12,319.14/x
  3. Step 3: Cross multiply
    13,959.30x = 20,949.93 × 12,319.14
  4. Step 4: Simplify right side
    13,959.30x = 258,085,120.66
  5. Step 5: Solve for x
    x = 258,085,120.66/13,959.30
  6. Step 6: Final answer
    x = 18,488.40

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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.