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Finding the Fourth Proportional to 12,315.42, 18,473.13 and 3,081.42

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Solution

The fourth proportional to 12,315.42, 18,473.13 and 3,081.42 is: 4,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.42 : 18,473.13 = 3,081.42 : x
  2. Step 2: Convert to fraction form
    12,315.42/18,473.13 = 3,081.42/x
  3. Step 3: Cross multiply
    12,315.42x = 18,473.13 × 3,081.42
  4. Step 4: Simplify right side
    12,315.42x = 56,923,472.24
  5. Step 5: Solve for x
    x = 56,923,472.24/12,315.42
  6. Step 6: Final answer
    x = 4,622.13

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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.