Home / 1,212.78-1,814.40-966.75

Finding the Fourth Proportional to 1,212.78, 1,814.40 and 966.75

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Solution

The fourth proportional to 1,212.78, 1,814.40 and 966.75 is: 1,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.78 : 1,814.40 = 966.75 : x
  2. Step 2: Convert to fraction form
    1,212.78/1,814.40 = 966.75/x
  3. Step 3: Cross multiply
    1,212.78x = 1,814.40 × 966.75
  4. Step 4: Simplify right side
    1,212.78x = 1,754,071.20
  5. Step 5: Solve for x
    x = 1,754,071.20/1,212.78
  6. Step 6: Final answer
    x = 1,446.32

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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.