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Finding the Fourth Proportional to 3,761.84, 5,643.08 and 1,295.66

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Solution

The fourth proportional to 3,761.84, 5,643.08 and 1,295.66 is: 1,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.84 : 5,643.08 = 1,295.66 : x
  2. Step 2: Convert to fraction form
    3,761.84/5,643.08 = 1,295.66/x
  3. Step 3: Cross multiply
    3,761.84x = 5,643.08 × 1,295.66
  4. Step 4: Simplify right side
    3,761.84x = 7,311,525.52
  5. Step 5: Solve for x
    x = 7,311,525.52/3,761.84
  6. Step 6: Final answer
    x = 1,943.60

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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.