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Finding the Fourth Proportional to 2,922.94, 4,384.30 and 731.69

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Solution

The fourth proportional to 2,922.94, 4,384.30 and 731.69 is: 1,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.94 : 4,384.30 = 731.69 : x
  2. Step 2: Convert to fraction form
    2,922.94/4,384.30 = 731.69/x
  3. Step 3: Cross multiply
    2,922.94x = 4,384.30 × 731.69
  4. Step 4: Simplify right side
    2,922.94x = 3,207,948.47
  5. Step 5: Solve for x
    x = 3,207,948.47/2,922.94
  6. Step 6: Final answer
    x = 1,097.51

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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.