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Finding the Fourth Proportional to 6,552.80, 9,814.80 and 5,080.40

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Solution

The fourth proportional to 6,552.80, 9,814.80 and 5,080.40 is: 7,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.80 : 9,814.80 = 5,080.40 : x
  2. Step 2: Convert to fraction form
    6,552.80/9,814.80 = 5,080.40/x
  3. Step 3: Cross multiply
    6,552.80x = 9,814.80 × 5,080.40
  4. Step 4: Simplify right side
    6,552.80x = 49,863,109.92
  5. Step 5: Solve for x
    x = 49,863,109.92/6,552.80
  6. Step 6: Final answer
    x = 7,609.44

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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.