Home / 2,281.12-3,421.55-964.32

Finding the Fourth Proportional to 2,281.12, 3,421.55 and 964.32

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Solution

The fourth proportional to 2,281.12, 3,421.55 and 964.32 is: 1,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.12 : 3,421.55 = 964.32 : x
  2. Step 2: Convert to fraction form
    2,281.12/3,421.55 = 964.32/x
  3. Step 3: Cross multiply
    2,281.12x = 3,421.55 × 964.32
  4. Step 4: Simplify right side
    2,281.12x = 3,299,469.10
  5. Step 5: Solve for x
    x = 3,299,469.10/2,281.12
  6. Step 6: Final answer
    x = 1,446.43

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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.