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Finding the Fourth Proportional to 3,775.32, 5,656.83 and 1,923.90

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Solution

The fourth proportional to 3,775.32, 5,656.83 and 1,923.90 is: 2,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.32 : 5,656.83 = 1,923.90 : x
  2. Step 2: Convert to fraction form
    3,775.32/5,656.83 = 1,923.90/x
  3. Step 3: Cross multiply
    3,775.32x = 5,656.83 × 1,923.90
  4. Step 4: Simplify right side
    3,775.32x = 10,883,175.24
  5. Step 5: Solve for x
    x = 10,883,175.24/3,775.32
  6. Step 6: Final answer
    x = 2,882.72

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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.