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Finding the Fourth Proportional to 6,885.34, 9,498.67 and 4,231.78

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Solution

The fourth proportional to 6,885.34, 9,498.67 and 4,231.78 is: 5,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.34 : 9,498.67 = 4,231.78 : x
  2. Step 2: Convert to fraction form
    6,885.34/9,498.67 = 4,231.78/x
  3. Step 3: Cross multiply
    6,885.34x = 9,498.67 × 4,231.78
  4. Step 4: Simplify right side
    6,885.34x = 40,196,247.41
  5. Step 5: Solve for x
    x = 40,196,247.41/6,885.34
  6. Step 6: Final answer
    x = 5,837.95

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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.