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Finding the Fourth Proportional to 3,642.34, 5,463.59 and 1,452.10

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Solution

The fourth proportional to 3,642.34, 5,463.59 and 1,452.10 is: 2,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.34 : 5,463.59 = 1,452.10 : x
  2. Step 2: Convert to fraction form
    3,642.34/5,463.59 = 1,452.10/x
  3. Step 3: Cross multiply
    3,642.34x = 5,463.59 × 1,452.10
  4. Step 4: Simplify right side
    3,642.34x = 7,933,679.04
  5. Step 5: Solve for x
    x = 7,933,679.04/3,642.34
  6. Step 6: Final answer
    x = 2,178.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.