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Finding the Fourth Proportional to 6,853.76, 9,458.16 and 3,869.56

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Solution

The fourth proportional to 6,853.76, 9,458.16 and 3,869.56 is: 5,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.76 : 9,458.16 = 3,869.56 : x
  2. Step 2: Convert to fraction form
    6,853.76/9,458.16 = 3,869.56/x
  3. Step 3: Cross multiply
    6,853.76x = 9,458.16 × 3,869.56
  4. Step 4: Simplify right side
    6,853.76x = 36,598,917.61
  5. Step 5: Solve for x
    x = 36,598,917.61/6,853.76
  6. Step 6: Final answer
    x = 5,339.98

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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.