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Finding the Fourth Proportional to 2,296.42, 3,445.13 and 980.24

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Solution

The fourth proportional to 2,296.42, 3,445.13 and 980.24 is: 1,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.42 : 3,445.13 = 980.24 : x
  2. Step 2: Convert to fraction form
    2,296.42/3,445.13 = 980.24/x
  3. Step 3: Cross multiply
    2,296.42x = 3,445.13 × 980.24
  4. Step 4: Simplify right side
    2,296.42x = 3,377,039.46
  5. Step 5: Solve for x
    x = 3,377,039.46/2,296.42
  6. Step 6: Final answer
    x = 1,470.57

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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.