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Finding the Fourth Proportional to 6,488.07, 9,708.48 and 5,620.70

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Solution

The fourth proportional to 6,488.07, 9,708.48 and 5,620.70 is: 8,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.07 : 9,708.48 = 5,620.70 : x
  2. Step 2: Convert to fraction form
    6,488.07/9,708.48 = 5,620.70/x
  3. Step 3: Cross multiply
    6,488.07x = 9,708.48 × 5,620.70
  4. Step 4: Simplify right side
    6,488.07x = 54,568,404.99
  5. Step 5: Solve for x
    x = 54,568,404.99/6,488.07
  6. Step 6: Final answer
    x = 8,410.58

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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.