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Finding the Fourth Proportional to 2,151.03, 3,226.11 and 980.71

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Solution

The fourth proportional to 2,151.03, 3,226.11 and 980.71 is: 1,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.03 : 3,226.11 = 980.71 : x
  2. Step 2: Convert to fraction form
    2,151.03/3,226.11 = 980.71/x
  3. Step 3: Cross multiply
    2,151.03x = 3,226.11 × 980.71
  4. Step 4: Simplify right side
    2,151.03x = 3,163,866.60
  5. Step 5: Solve for x
    x = 3,163,866.60/2,151.03
  6. Step 6: Final answer
    x = 1,470.86

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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.