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Finding the Fourth Proportional to 7,209.80, 10,814.16 and 2,279.60

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Solution

The fourth proportional to 7,209.80, 10,814.16 and 2,279.60 is: 3,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.80 : 10,814.16 = 2,279.60 : x
  2. Step 2: Convert to fraction form
    7,209.80/10,814.16 = 2,279.60/x
  3. Step 3: Cross multiply
    7,209.80x = 10,814.16 × 2,279.60
  4. Step 4: Simplify right side
    7,209.80x = 24,651,959.14
  5. Step 5: Solve for x
    x = 24,651,959.14/7,209.80
  6. Step 6: Final answer
    x = 3,419.23

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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.