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Finding the Fourth Proportional to 2,940.97, 4,411.47 and 749.71

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Solution

The fourth proportional to 2,940.97, 4,411.47 and 749.71 is: 1,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.97 : 4,411.47 = 749.71 : x
  2. Step 2: Convert to fraction form
    2,940.97/4,411.47 = 749.71/x
  3. Step 3: Cross multiply
    2,940.97x = 4,411.47 × 749.71
  4. Step 4: Simplify right side
    2,940.97x = 3,307,323.17
  5. Step 5: Solve for x
    x = 3,307,323.17/2,940.97
  6. Step 6: Final answer
    x = 1,124.57

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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.