Home / 1,421.12-2,132.28-960.64

Finding the Fourth Proportional to 1,421.12, 2,132.28 and 960.64

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Solution

The fourth proportional to 1,421.12, 2,132.28 and 960.64 is: 1,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.12 : 2,132.28 = 960.64 : x
  2. Step 2: Convert to fraction form
    1,421.12/2,132.28 = 960.64/x
  3. Step 3: Cross multiply
    1,421.12x = 2,132.28 × 960.64
  4. Step 4: Simplify right side
    1,421.12x = 2,048,353.46
  5. Step 5: Solve for x
    x = 2,048,353.46/1,421.12
  6. Step 6: Final answer
    x = 1,441.37

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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.