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Finding the Fourth Proportional to 3,659.77, 5,492.76 and 1,812.97

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Solution

The fourth proportional to 3,659.77, 5,492.76 and 1,812.97 is: 2,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.77 : 5,492.76 = 1,812.97 : x
  2. Step 2: Convert to fraction form
    3,659.77/5,492.76 = 1,812.97/x
  3. Step 3: Cross multiply
    3,659.77x = 5,492.76 × 1,812.97
  4. Step 4: Simplify right side
    3,659.77x = 9,958,209.10
  5. Step 5: Solve for x
    x = 9,958,209.10/3,659.77
  6. Step 6: Final answer
    x = 2,720.99

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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.