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Finding the Fourth Proportional to 6,855.68, 10,287.37 and 3,735.91

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Solution

The fourth proportional to 6,855.68, 10,287.37 and 3,735.91 is: 5,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.68 : 10,287.37 = 3,735.91 : x
  2. Step 2: Convert to fraction form
    6,855.68/10,287.37 = 3,735.91/x
  3. Step 3: Cross multiply
    6,855.68x = 10,287.37 × 3,735.91
  4. Step 4: Simplify right side
    6,855.68x = 38,432,618.34
  5. Step 5: Solve for x
    x = 38,432,618.34/6,855.68
  6. Step 6: Final answer
    x = 5,605.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.