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Finding the Fourth Proportional to 2,471.50, 3,706.92 and 828.02

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Solution

The fourth proportional to 2,471.50, 3,706.92 and 828.02 is: 1,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.50 : 3,706.92 = 828.02 : x
  2. Step 2: Convert to fraction form
    2,471.50/3,706.92 = 828.02/x
  3. Step 3: Cross multiply
    2,471.50x = 3,706.92 × 828.02
  4. Step 4: Simplify right side
    2,471.50x = 3,069,403.90
  5. Step 5: Solve for x
    x = 3,069,403.90/2,471.50
  6. Step 6: Final answer
    x = 1,241.92

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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.