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Finding the Fourth Proportional to 6,605.68, 9,115.50 and 3,811

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Solution

The fourth proportional to 6,605.68, 9,115.50 and 3,811 is: 5,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.68 : 9,115.50 = 3,811 : x
  2. Step 2: Convert to fraction form
    6,605.68/9,115.50 = 3,811/x
  3. Step 3: Cross multiply
    6,605.68x = 9,115.50 × 3,811
  4. Step 4: Simplify right side
    6,605.68x = 34,739,170.50
  5. Step 5: Solve for x
    x = 34,739,170.50/6,605.68
  6. Step 6: Final answer
    x = 5,258.98

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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.