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Finding the Fourth Proportional to 8,287.56, 11,429.46 and 8,246.20

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Solution

The fourth proportional to 8,287.56, 11,429.46 and 8,246.20 is: 11,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.56 : 11,429.46 = 8,246.20 : x
  2. Step 2: Convert to fraction form
    8,287.56/11,429.46 = 8,246.20/x
  3. Step 3: Cross multiply
    8,287.56x = 11,429.46 × 8,246.20
  4. Step 4: Simplify right side
    8,287.56x = 94,249,613.05
  5. Step 5: Solve for x
    x = 94,249,613.05/8,287.56
  6. Step 6: Final answer
    x = 11,372.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.