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Finding the Fourth Proportional to 2,922.71, 4,384.07 and 731.44

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Solution

The fourth proportional to 2,922.71, 4,384.07 and 731.44 is: 1,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.71 : 4,384.07 = 731.44 : x
  2. Step 2: Convert to fraction form
    2,922.71/4,384.07 = 731.44/x
  3. Step 3: Cross multiply
    2,922.71x = 4,384.07 × 731.44
  4. Step 4: Simplify right side
    2,922.71x = 3,206,669.54
  5. Step 5: Solve for x
    x = 3,206,669.54/2,922.71
  6. Step 6: Final answer
    x = 1,097.16

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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.