Home / 3,427.65-5,141.80-962.46

Finding the Fourth Proportional to 3,427.65, 5,141.80 and 962.46

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Solution

The fourth proportional to 3,427.65, 5,141.80 and 962.46 is: 1,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.65 : 5,141.80 = 962.46 : x
  2. Step 2: Convert to fraction form
    3,427.65/5,141.80 = 962.46/x
  3. Step 3: Cross multiply
    3,427.65x = 5,141.80 × 962.46
  4. Step 4: Simplify right side
    3,427.65x = 4,948,758.16
  5. Step 5: Solve for x
    x = 4,948,758.16/3,427.65
  6. Step 6: Final answer
    x = 1,443.78

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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.