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Finding the Fourth Proportional to 3,844.16, 5,765.31 and 1,762.86

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Solution

The fourth proportional to 3,844.16, 5,765.31 and 1,762.86 is: 2,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.16 : 5,765.31 = 1,762.86 : x
  2. Step 2: Convert to fraction form
    3,844.16/5,765.31 = 1,762.86/x
  3. Step 3: Cross multiply
    3,844.16x = 5,765.31 × 1,762.86
  4. Step 4: Simplify right side
    3,844.16x = 10,163,434.39
  5. Step 5: Solve for x
    x = 10,163,434.39/3,844.16
  6. Step 6: Final answer
    x = 2,643.87

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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.