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Finding the Fourth Proportional to 3,763.97, 5,646.64 and 1,264.90

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Solution

The fourth proportional to 3,763.97, 5,646.64 and 1,264.90 is: 1,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.97 : 5,646.64 = 1,264.90 : x
  2. Step 2: Convert to fraction form
    3,763.97/5,646.64 = 1,264.90/x
  3. Step 3: Cross multiply
    3,763.97x = 5,646.64 × 1,264.90
  4. Step 4: Simplify right side
    3,763.97x = 7,142,434.94
  5. Step 5: Solve for x
    x = 7,142,434.94/3,763.97
  6. Step 6: Final answer
    x = 1,897.58

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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.