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Finding the Fourth Proportional to 6,141.90, 9,214.17 and 1,982.15

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Solution

The fourth proportional to 6,141.90, 9,214.17 and 1,982.15 is: 2,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.90 : 9,214.17 = 1,982.15 : x
  2. Step 2: Convert to fraction form
    6,141.90/9,214.17 = 1,982.15/x
  3. Step 3: Cross multiply
    6,141.90x = 9,214.17 × 1,982.15
  4. Step 4: Simplify right side
    6,141.90x = 18,263,867.07
  5. Step 5: Solve for x
    x = 18,263,867.07/6,141.90
  6. Step 6: Final answer
    x = 2,973.65

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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.