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Finding the Fourth Proportional to 6,761.14, 10,117.04 and 3,989.14

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Solution

The fourth proportional to 6,761.14, 10,117.04 and 3,989.14 is: 5,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.14 : 10,117.04 = 3,989.14 : x
  2. Step 2: Convert to fraction form
    6,761.14/10,117.04 = 3,989.14/x
  3. Step 3: Cross multiply
    6,761.14x = 10,117.04 × 3,989.14
  4. Step 4: Simplify right side
    6,761.14x = 40,358,288.95
  5. Step 5: Solve for x
    x = 40,358,288.95/6,761.14
  6. Step 6: Final answer
    x = 5,969.15

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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.