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Finding the Fourth Proportional to 3,411.33, 5,107.87 and 1,948.47

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Solution

The fourth proportional to 3,411.33, 5,107.87 and 1,948.47 is: 2,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.33 : 5,107.87 = 1,948.47 : x
  2. Step 2: Convert to fraction form
    3,411.33/5,107.87 = 1,948.47/x
  3. Step 3: Cross multiply
    3,411.33x = 5,107.87 × 1,948.47
  4. Step 4: Simplify right side
    3,411.33x = 9,952,531.46
  5. Step 5: Solve for x
    x = 9,952,531.46/3,411.33
  6. Step 6: Final answer
    x = 2,917.49

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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.