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Finding the Fourth Proportional to 2,279.76, 3,420.26 and 980.94

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Solution

The fourth proportional to 2,279.76, 3,420.26 and 980.94 is: 1,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.76 : 3,420.26 = 980.94 : x
  2. Step 2: Convert to fraction form
    2,279.76/3,420.26 = 980.94/x
  3. Step 3: Cross multiply
    2,279.76x = 3,420.26 × 980.94
  4. Step 4: Simplify right side
    2,279.76x = 3,355,069.84
  5. Step 5: Solve for x
    x = 3,355,069.84/2,279.76
  6. Step 6: Final answer
    x = 1,471.68

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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.