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Finding the Fourth Proportional to 6,138.48, 8,471.32 and 3,486

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Solution

The fourth proportional to 6,138.48, 8,471.32 and 3,486 is: 4,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.48 : 8,471.32 = 3,486 : x
  2. Step 2: Convert to fraction form
    6,138.48/8,471.32 = 3,486/x
  3. Step 3: Cross multiply
    6,138.48x = 8,471.32 × 3,486
  4. Step 4: Simplify right side
    6,138.48x = 29,531,021.52
  5. Step 5: Solve for x
    x = 29,531,021.52/6,138.48
  6. Step 6: Final answer
    x = 4,810.80

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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.