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Finding the Fourth Proportional to 14,503, 20,014.38 and 7,879

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Solution

The fourth proportional to 14,503, 20,014.38 and 7,879 is: 10,873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503 : 20,014.38 = 7,879 : x
  2. Step 2: Convert to fraction form
    14,503/20,014.38 = 7,879/x
  3. Step 3: Cross multiply
    14,503x = 20,014.38 × 7,879
  4. Step 4: Simplify right side
    14,503x = 157,693,300.02
  5. Step 5: Solve for x
    x = 157,693,300.02/14,503
  6. Step 6: Final answer
    x = 10,873.15

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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.