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Finding the Fourth Proportional to 2,565.72, 3,539.25 and 1,621.22

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Solution

The fourth proportional to 2,565.72, 3,539.25 and 1,621.22 is: 2,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.72 : 3,539.25 = 1,621.22 : x
  2. Step 2: Convert to fraction form
    2,565.72/3,539.25 = 1,621.22/x
  3. Step 3: Cross multiply
    2,565.72x = 3,539.25 × 1,621.22
  4. Step 4: Simplify right side
    2,565.72x = 5,737,885.19
  5. Step 5: Solve for x
    x = 5,737,885.19/2,565.72
  6. Step 6: Final answer
    x = 2,236.36

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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.