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Finding the Fourth Proportional to 20,314.97, 30,478.53 and 8,629.10

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Solution

The fourth proportional to 20,314.97, 30,478.53 and 8,629.10 is: 12,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.97 : 30,478.53 = 8,629.10 : x
  2. Step 2: Convert to fraction form
    20,314.97/30,478.53 = 8,629.10/x
  3. Step 3: Cross multiply
    20,314.97x = 30,478.53 × 8,629.10
  4. Step 4: Simplify right side
    20,314.97x = 263,002,228.95
  5. Step 5: Solve for x
    x = 263,002,228.95/20,314.97
  6. Step 6: Final answer
    x = 12,946.23

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1.5x scale

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.