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Finding the Fourth Proportional to 3,689.95, 5,544.49 and 2,774.14

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Solution

The fourth proportional to 3,689.95, 5,544.49 and 2,774.14 is: 4,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.95 : 5,544.49 = 2,774.14 : x
  2. Step 2: Convert to fraction form
    3,689.95/5,544.49 = 2,774.14/x
  3. Step 3: Cross multiply
    3,689.95x = 5,544.49 × 2,774.14
  4. Step 4: Simplify right side
    3,689.95x = 15,381,170.69
  5. Step 5: Solve for x
    x = 15,381,170.69/3,689.95
  6. Step 6: Final answer
    x = 4,168.40

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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.