Home / 2,814.40-4,221.60-964.90

Finding the Fourth Proportional to 2,814.40, 4,221.60 and 964.90

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Solution

The fourth proportional to 2,814.40, 4,221.60 and 964.90 is: 1,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.40 : 4,221.60 = 964.90 : x
  2. Step 2: Convert to fraction form
    2,814.40/4,221.60 = 964.90/x
  3. Step 3: Cross multiply
    2,814.40x = 4,221.60 × 964.90
  4. Step 4: Simplify right side
    2,814.40x = 4,073,421.84
  5. Step 5: Solve for x
    x = 4,073,421.84/2,814.40
  6. Step 6: Final answer
    x = 1,447.35

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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.