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Finding the Fourth Proportional to 6,839.43, 9,437.74 and 3,854.98

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Solution

The fourth proportional to 6,839.43, 9,437.74 and 3,854.98 is: 5,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.43 : 9,437.74 = 3,854.98 : x
  2. Step 2: Convert to fraction form
    6,839.43/9,437.74 = 3,854.98/x
  3. Step 3: Cross multiply
    6,839.43x = 9,437.74 × 3,854.98
  4. Step 4: Simplify right side
    6,839.43x = 36,382,298.95
  5. Step 5: Solve for x
    x = 36,382,298.95/6,839.43
  6. Step 6: Final answer
    x = 5,319.49

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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.