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Finding the Fourth Proportional to 12,219.52, 18,329.24 and 8,314.24

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Solution

The fourth proportional to 12,219.52, 18,329.24 and 8,314.24 is: 12,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.52 : 18,329.24 = 8,314.24 : x
  2. Step 2: Convert to fraction form
    12,219.52/18,329.24 = 8,314.24/x
  3. Step 3: Cross multiply
    12,219.52x = 18,329.24 × 8,314.24
  4. Step 4: Simplify right side
    12,219.52x = 152,393,700.38
  5. Step 5: Solve for x
    x = 152,393,700.38/12,219.52
  6. Step 6: Final answer
    x = 12,471.33

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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.