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Finding the Fourth Proportional to 3,876.66, 5,775.84 and 3,690.90

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Solution

The fourth proportional to 3,876.66, 5,775.84 and 3,690.90 is: 5,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.66 : 5,775.84 = 3,690.90 : x
  2. Step 2: Convert to fraction form
    3,876.66/5,775.84 = 3,690.90/x
  3. Step 3: Cross multiply
    3,876.66x = 5,775.84 × 3,690.90
  4. Step 4: Simplify right side
    3,876.66x = 21,318,047.86
  5. Step 5: Solve for x
    x = 21,318,047.86/3,876.66
  6. Step 6: Final answer
    x = 5,499.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.