Home / 1,397.48-2,101.08-966.56

Finding the Fourth Proportional to 1,397.48, 2,101.08 and 966.56

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Solution

The fourth proportional to 1,397.48, 2,101.08 and 966.56 is: 1,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.48 : 2,101.08 = 966.56 : x
  2. Step 2: Convert to fraction form
    1,397.48/2,101.08 = 966.56/x
  3. Step 3: Cross multiply
    1,397.48x = 2,101.08 × 966.56
  4. Step 4: Simplify right side
    1,397.48x = 2,030,819.88
  5. Step 5: Solve for x
    x = 2,030,819.88/1,397.48
  6. Step 6: Final answer
    x = 1,453.20

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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.