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Finding the Fourth Proportional to 2,658.83, 3,669.30 and 1,540.01

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Solution

The fourth proportional to 2,658.83, 3,669.30 and 1,540.01 is: 2,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.83 : 3,669.30 = 1,540.01 : x
  2. Step 2: Convert to fraction form
    2,658.83/3,669.30 = 1,540.01/x
  3. Step 3: Cross multiply
    2,658.83x = 3,669.30 × 1,540.01
  4. Step 4: Simplify right side
    2,658.83x = 5,650,767.87
  5. Step 5: Solve for x
    x = 5,650,767.87/2,658.83
  6. Step 6: Final answer
    x = 2,125.29

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