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Finding the Fourth Proportional to 3,880.98, 5,822.28 and 1,689.66

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Solution

The fourth proportional to 3,880.98, 5,822.28 and 1,689.66 is: 2,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.98 : 5,822.28 = 1,689.66 : x
  2. Step 2: Convert to fraction form
    3,880.98/5,822.28 = 1,689.66/x
  3. Step 3: Cross multiply
    3,880.98x = 5,822.28 × 1,689.66
  4. Step 4: Simplify right side
    3,880.98x = 9,837,673.62
  5. Step 5: Solve for x
    x = 9,837,673.62/3,880.98
  6. Step 6: Final answer
    x = 2,534.84

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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.