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Finding the Fourth Proportional to 3,774.16, 5,661.16 and 2,019.76

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Solution

The fourth proportional to 3,774.16, 5,661.16 and 2,019.76 is: 3,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.16 : 5,661.16 = 2,019.76 : x
  2. Step 2: Convert to fraction form
    3,774.16/5,661.16 = 2,019.76/x
  3. Step 3: Cross multiply
    3,774.16x = 5,661.16 × 2,019.76
  4. Step 4: Simplify right side
    3,774.16x = 11,434,184.52
  5. Step 5: Solve for x
    x = 11,434,184.52/3,774.16
  6. Step 6: Final answer
    x = 3,029.60

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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.