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Finding the Fourth Proportional to 2,658.40, 3,669.03 and 1,539.14

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Solution

The fourth proportional to 2,658.40, 3,669.03 and 1,539.14 is: 2,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.40 : 3,669.03 = 1,539.14 : x
  2. Step 2: Convert to fraction form
    2,658.40/3,669.03 = 1,539.14/x
  3. Step 3: Cross multiply
    2,658.40x = 3,669.03 × 1,539.14
  4. Step 4: Simplify right side
    2,658.40x = 5,647,150.83
  5. Step 5: Solve for x
    x = 5,647,150.83/2,658.40
  6. Step 6: Final answer
    x = 2,124.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.