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Finding the Fourth Proportional to 2,381.73, 3,566.42 and 1,643.62

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Solution

The fourth proportional to 2,381.73, 3,566.42 and 1,643.62 is: 2,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.73 : 3,566.42 = 1,643.62 : x
  2. Step 2: Convert to fraction form
    2,381.73/3,566.42 = 1,643.62/x
  3. Step 3: Cross multiply
    2,381.73x = 3,566.42 × 1,643.62
  4. Step 4: Simplify right side
    2,381.73x = 5,861,839.24
  5. Step 5: Solve for x
    x = 5,861,839.24/2,381.73
  6. Step 6: Final answer
    x = 2,461.17

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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.