Home / 3,427.74-5,140.80-1,966.14

Finding the Fourth Proportional to 3,427.74, 5,140.80 and 1,966.14

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Solution

The fourth proportional to 3,427.74, 5,140.80 and 1,966.14 is: 2,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.74 : 5,140.80 = 1,966.14 : x
  2. Step 2: Convert to fraction form
    3,427.74/5,140.80 = 1,966.14/x
  3. Step 3: Cross multiply
    3,427.74x = 5,140.80 × 1,966.14
  4. Step 4: Simplify right side
    3,427.74x = 10,107,532.51
  5. Step 5: Solve for x
    x = 10,107,532.51/3,427.74
  6. Step 6: Final answer
    x = 2,948.75

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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.