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Finding the Fourth Proportional to 5,821.28, 8,733.38 and 1,661.28

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Solution

The fourth proportional to 5,821.28, 8,733.38 and 1,661.28 is: 2,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.28 : 8,733.38 = 1,661.28 : x
  2. Step 2: Convert to fraction form
    5,821.28/8,733.38 = 1,661.28/x
  3. Step 3: Cross multiply
    5,821.28x = 8,733.38 × 1,661.28
  4. Step 4: Simplify right side
    5,821.28x = 14,508,589.53
  5. Step 5: Solve for x
    x = 14,508,589.53/5,821.28
  6. Step 6: Final answer
    x = 2,492.34

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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.