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Finding the Fourth Proportional to 6,138.74, 8,471.48 and 3,486.17

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Solution

The fourth proportional to 6,138.74, 8,471.48 and 3,486.17 is: 4,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.74 : 8,471.48 = 3,486.17 : x
  2. Step 2: Convert to fraction form
    6,138.74/8,471.48 = 3,486.17/x
  3. Step 3: Cross multiply
    6,138.74x = 8,471.48 × 3,486.17
  4. Step 4: Simplify right side
    6,138.74x = 29,532,959.64
  5. Step 5: Solve for x
    x = 29,532,959.64/6,138.74
  6. Step 6: Final answer
    x = 4,810.92

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1.5x scale

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.