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Finding the Fourth Proportional to 6,489.57, 9,710.73 and 5,622.20

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Solution

The fourth proportional to 6,489.57, 9,710.73 and 5,622.20 is: 8,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.57 : 9,710.73 = 5,622.20 : x
  2. Step 2: Convert to fraction form
    6,489.57/9,710.73 = 5,622.20/x
  3. Step 3: Cross multiply
    6,489.57x = 9,710.73 × 5,622.20
  4. Step 4: Simplify right side
    6,489.57x = 54,595,617.65
  5. Step 5: Solve for x
    x = 54,595,617.65/6,489.57
  6. Step 6: Final answer
    x = 8,412.83

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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.