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Finding the Fourth Proportional to 12,478, 18,720.48 and 3,713.28

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Solution

The fourth proportional to 12,478, 18,720.48 and 3,713.28 is: 5,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478 : 18,720.48 = 3,713.28 : x
  2. Step 2: Convert to fraction form
    12,478/18,720.48 = 3,713.28/x
  3. Step 3: Cross multiply
    12,478x = 18,720.48 × 3,713.28
  4. Step 4: Simplify right side
    12,478x = 69,514,383.97
  5. Step 5: Solve for x
    x = 69,514,383.97/12,478
  6. Step 6: Final answer
    x = 5,570.96

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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.