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Finding the Fourth Proportional to 4,346.80, 6,514.80 and 3,882.40

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Solution

The fourth proportional to 4,346.80, 6,514.80 and 3,882.40 is: 5,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.80 : 6,514.80 = 3,882.40 : x
  2. Step 2: Convert to fraction form
    4,346.80/6,514.80 = 3,882.40/x
  3. Step 3: Cross multiply
    4,346.80x = 6,514.80 × 3,882.40
  4. Step 4: Simplify right side
    4,346.80x = 25,293,059.52
  5. Step 5: Solve for x
    x = 25,293,059.52/4,346.80
  6. Step 6: Final answer
    x = 5,818.78

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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.