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Finding the Fourth Proportional to 14,601, 20,149.38 and 8,314.60

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Solution

The fourth proportional to 14,601, 20,149.38 and 8,314.60 is: 11,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601 : 20,149.38 = 8,314.60 : x
  2. Step 2: Convert to fraction form
    14,601/20,149.38 = 8,314.60/x
  3. Step 3: Cross multiply
    14,601x = 20,149.38 × 8,314.60
  4. Step 4: Simplify right side
    14,601x = 167,534,034.95
  5. Step 5: Solve for x
    x = 167,534,034.95/14,601
  6. Step 6: Final answer
    x = 11,474.15

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1.5x scale

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.