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Finding the Fourth Proportional to 2,583.54, 3,565.89 and 1,650.42

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Solution

The fourth proportional to 2,583.54, 3,565.89 and 1,650.42 is: 2,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.54 : 3,565.89 = 1,650.42 : x
  2. Step 2: Convert to fraction form
    2,583.54/3,565.89 = 1,650.42/x
  3. Step 3: Cross multiply
    2,583.54x = 3,565.89 × 1,650.42
  4. Step 4: Simplify right side
    2,583.54x = 5,885,216.17
  5. Step 5: Solve for x
    x = 5,885,216.17/2,583.54
  6. Step 6: Final answer
    x = 2,277.97

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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.