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Finding the Fourth Proportional to 3,765.81, 5,641.01 and 1,761.63

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Solution

The fourth proportional to 3,765.81, 5,641.01 and 1,761.63 is: 2,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.81 : 5,641.01 = 1,761.63 : x
  2. Step 2: Convert to fraction form
    3,765.81/5,641.01 = 1,761.63/x
  3. Step 3: Cross multiply
    3,765.81x = 5,641.01 × 1,761.63
  4. Step 4: Simplify right side
    3,765.81x = 9,937,344.24
  5. Step 5: Solve for x
    x = 9,937,344.24/3,765.81
  6. Step 6: Final answer
    x = 2,638.84

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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.