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Finding the Fourth Proportional to 6,138.46, 8,471.19 and 3,655.90

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Solution

The fourth proportional to 6,138.46, 8,471.19 and 3,655.90 is: 5,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.46 : 8,471.19 = 3,655.90 : x
  2. Step 2: Convert to fraction form
    6,138.46/8,471.19 = 3,655.90/x
  3. Step 3: Cross multiply
    6,138.46x = 8,471.19 × 3,655.90
  4. Step 4: Simplify right side
    6,138.46x = 30,969,823.52
  5. Step 5: Solve for x
    x = 30,969,823.52/6,138.46
  6. Step 6: Final answer
    x = 5,045.21

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