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Finding the Fourth Proportional to 6,147.60, 9,215.10 and 3,022.80

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Solution

The fourth proportional to 6,147.60, 9,215.10 and 3,022.80 is: 4,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.60 : 9,215.10 = 3,022.80 : x
  2. Step 2: Convert to fraction form
    6,147.60/9,215.10 = 3,022.80/x
  3. Step 3: Cross multiply
    6,147.60x = 9,215.10 × 3,022.80
  4. Step 4: Simplify right side
    6,147.60x = 27,855,404.28
  5. Step 5: Solve for x
    x = 27,855,404.28/6,147.60
  6. Step 6: Final answer
    x = 4,531.10

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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.