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Finding the Fourth Proportional to 3,215.22, 4,824.05 and 1,980.78

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Solution

The fourth proportional to 3,215.22, 4,824.05 and 1,980.78 is: 2,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.22 : 4,824.05 = 1,980.78 : x
  2. Step 2: Convert to fraction form
    3,215.22/4,824.05 = 1,980.78/x
  3. Step 3: Cross multiply
    3,215.22x = 4,824.05 × 1,980.78
  4. Step 4: Simplify right side
    3,215.22x = 9,555,371.86
  5. Step 5: Solve for x
    x = 9,555,371.86/3,215.22
  6. Step 6: Final answer
    x = 2,971.92

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1.5x scale

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.