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Finding the Fourth Proportional to 3,643.53, 5,463.27 and 1,693.86

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Solution

The fourth proportional to 3,643.53, 5,463.27 and 1,693.86 is: 2,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.53 : 5,463.27 = 1,693.86 : x
  2. Step 2: Convert to fraction form
    3,643.53/5,463.27 = 1,693.86/x
  3. Step 3: Cross multiply
    3,643.53x = 5,463.27 × 1,693.86
  4. Step 4: Simplify right side
    3,643.53x = 9,254,014.52
  5. Step 5: Solve for x
    x = 9,254,014.52/3,643.53
  6. Step 6: Final answer
    x = 2,539.85

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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.