Home / 2,206.03-3,308.16-972.56

Finding the Fourth Proportional to 2,206.03, 3,308.16 and 972.56

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Solution

The fourth proportional to 2,206.03, 3,308.16 and 972.56 is: 1,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.03 : 3,308.16 = 972.56 : x
  2. Step 2: Convert to fraction form
    2,206.03/3,308.16 = 972.56/x
  3. Step 3: Cross multiply
    2,206.03x = 3,308.16 × 972.56
  4. Step 4: Simplify right side
    2,206.03x = 3,217,396.01
  5. Step 5: Solve for x
    x = 3,217,396.01/2,206.03
  6. Step 6: Final answer
    x = 1,458.46

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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.