Home / 1,549.60-2,321.46-962.75

Finding the Fourth Proportional to 1,549.60, 2,321.46 and 962.75

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Solution

The fourth proportional to 1,549.60, 2,321.46 and 962.75 is: 1,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.60 : 2,321.46 = 962.75 : x
  2. Step 2: Convert to fraction form
    1,549.60/2,321.46 = 962.75/x
  3. Step 3: Cross multiply
    1,549.60x = 2,321.46 × 962.75
  4. Step 4: Simplify right side
    1,549.60x = 2,234,991.42
  5. Step 5: Solve for x
    x = 2,234,991.42/1,549.60
  6. Step 6: Final answer
    x = 1,442.30

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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.