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Finding the Fourth Proportional to 5,492, 8,230.50 and 2,528.72

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Solution

The fourth proportional to 5,492, 8,230.50 and 2,528.72 is: 3,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492 : 8,230.50 = 2,528.72 : x
  2. Step 2: Convert to fraction form
    5,492/8,230.50 = 2,528.72/x
  3. Step 3: Cross multiply
    5,492x = 8,230.50 × 2,528.72
  4. Step 4: Simplify right side
    5,492x = 20,812,629.96
  5. Step 5: Solve for x
    x = 20,812,629.96/5,492
  6. Step 6: Final answer
    x = 3,789.63

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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.