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Finding the Fourth Proportional to 12,578.70, 18,868.04 and 4,256.48

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Solution

The fourth proportional to 12,578.70, 18,868.04 and 4,256.48 is: 6,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.70 : 18,868.04 = 4,256.48 : x
  2. Step 2: Convert to fraction form
    12,578.70/18,868.04 = 4,256.48/x
  3. Step 3: Cross multiply
    12,578.70x = 18,868.04 × 4,256.48
  4. Step 4: Simplify right side
    12,578.70x = 80,311,434.90
  5. Step 5: Solve for x
    x = 80,311,434.90/12,578.70
  6. Step 6: Final answer
    x = 6,384.72

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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.