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Finding the Fourth Proportional to 3,412.68, 5,115.39 and 1,948.68

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Solution

The fourth proportional to 3,412.68, 5,115.39 and 1,948.68 is: 2,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.68 : 5,115.39 = 1,948.68 : x
  2. Step 2: Convert to fraction form
    3,412.68/5,115.39 = 1,948.68/x
  3. Step 3: Cross multiply
    3,412.68x = 5,115.39 × 1,948.68
  4. Step 4: Simplify right side
    3,412.68x = 9,968,258.19
  5. Step 5: Solve for x
    x = 9,968,258.19/3,412.68
  6. Step 6: Final answer
    x = 2,920.95

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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.