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Finding the Fourth Proportional to 2,679.47, 4,019.16 and 731.67

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Solution

The fourth proportional to 2,679.47, 4,019.16 and 731.67 is: 1,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.47 : 4,019.16 = 731.67 : x
  2. Step 2: Convert to fraction form
    2,679.47/4,019.16 = 731.67/x
  3. Step 3: Cross multiply
    2,679.47x = 4,019.16 × 731.67
  4. Step 4: Simplify right side
    2,679.47x = 2,940,698.80
  5. Step 5: Solve for x
    x = 2,940,698.80/2,679.47
  6. Step 6: Final answer
    x = 1,097.49

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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.