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Finding the Fourth Proportional to 6,837, 9,435.78 and 4,186.18

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Solution

The fourth proportional to 6,837, 9,435.78 and 4,186.18 is: 5,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837 : 9,435.78 = 4,186.18 : x
  2. Step 2: Convert to fraction form
    6,837/9,435.78 = 4,186.18/x
  3. Step 3: Cross multiply
    6,837x = 9,435.78 × 4,186.18
  4. Step 4: Simplify right side
    6,837x = 39,499,805.41
  5. Step 5: Solve for x
    x = 39,499,805.41/6,837
  6. Step 6: Final answer
    x = 5,777.36

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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.