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Finding the Fourth Proportional to 3,765.16, 5,643 and 2,669.80

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Solution

The fourth proportional to 3,765.16, 5,643 and 2,669.80 is: 4,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.16 : 5,643 = 2,669.80 : x
  2. Step 2: Convert to fraction form
    3,765.16/5,643 = 2,669.80/x
  3. Step 3: Cross multiply
    3,765.16x = 5,643 × 2,669.80
  4. Step 4: Simplify right side
    3,765.16x = 15,065,681.40
  5. Step 5: Solve for x
    x = 15,065,681.40/3,765.16
  6. Step 6: Final answer
    x = 4,001.34

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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.