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Finding the Fourth Proportional to 9,241.71, 13,856.21 and 3,318.47

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Solution

The fourth proportional to 9,241.71, 13,856.21 and 3,318.47 is: 4,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.71 : 13,856.21 = 3,318.47 : x
  2. Step 2: Convert to fraction form
    9,241.71/13,856.21 = 3,318.47/x
  3. Step 3: Cross multiply
    9,241.71x = 13,856.21 × 3,318.47
  4. Step 4: Simplify right side
    9,241.71x = 45,981,417.20
  5. Step 5: Solve for x
    x = 45,981,417.20/9,241.71
  6. Step 6: Final answer
    x = 4,975.42

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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.