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Finding the Fourth Proportional to 3,643.80, 5,462.34 and 1,452

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Solution

The fourth proportional to 3,643.80, 5,462.34 and 1,452 is: 2,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.80 : 5,462.34 = 1,452 : x
  2. Step 2: Convert to fraction form
    3,643.80/5,462.34 = 1,452/x
  3. Step 3: Cross multiply
    3,643.80x = 5,462.34 × 1,452
  4. Step 4: Simplify right side
    3,643.80x = 7,931,317.68
  5. Step 5: Solve for x
    x = 7,931,317.68/3,643.80
  6. Step 6: Final answer
    x = 2,176.66

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Why These Related Problems?

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