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Finding the Fourth Proportional to 6,478.98, 9,719.26 and 2,319.42

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Solution

The fourth proportional to 6,478.98, 9,719.26 and 2,319.42 is: 3,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.98 : 9,719.26 = 2,319.42 : x
  2. Step 2: Convert to fraction form
    6,478.98/9,719.26 = 2,319.42/x
  3. Step 3: Cross multiply
    6,478.98x = 9,719.26 × 2,319.42
  4. Step 4: Simplify right side
    6,478.98x = 22,543,046.03
  5. Step 5: Solve for x
    x = 22,543,046.03/6,478.98
  6. Step 6: Final answer
    x = 3,479.41

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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.