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Finding the Fourth Proportional to 6,456.38, 9,680.79 and 4,619.30

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Solution

The fourth proportional to 6,456.38, 9,680.79 and 4,619.30 is: 6,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.38 : 9,680.79 = 4,619.30 : x
  2. Step 2: Convert to fraction form
    6,456.38/9,680.79 = 4,619.30/x
  3. Step 3: Cross multiply
    6,456.38x = 9,680.79 × 4,619.30
  4. Step 4: Simplify right side
    6,456.38x = 44,718,473.25
  5. Step 5: Solve for x
    x = 44,718,473.25/6,456.38
  6. Step 6: Final answer
    x = 6,926.25

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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.