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Finding the Fourth Proportional to 2,652.19, 3,658.21 and 1,589.22

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Solution

The fourth proportional to 2,652.19, 3,658.21 and 1,589.22 is: 2,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.19 : 3,658.21 = 1,589.22 : x
  2. Step 2: Convert to fraction form
    2,652.19/3,658.21 = 1,589.22/x
  3. Step 3: Cross multiply
    2,652.19x = 3,658.21 × 1,589.22
  4. Step 4: Simplify right side
    2,652.19x = 5,813,705.46
  5. Step 5: Solve for x
    x = 5,813,705.46/2,652.19
  6. Step 6: Final answer
    x = 2,192.04

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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.