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Finding the Fourth Proportional to 2,471.64, 3,707.66 and 828.20

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Solution

The fourth proportional to 2,471.64, 3,707.66 and 828.20 is: 1,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.64 : 3,707.66 = 828.20 : x
  2. Step 2: Convert to fraction form
    2,471.64/3,707.66 = 828.20/x
  3. Step 3: Cross multiply
    2,471.64x = 3,707.66 × 828.20
  4. Step 4: Simplify right side
    2,471.64x = 3,070,684.01
  5. Step 5: Solve for x
    x = 3,070,684.01/2,471.64
  6. Step 6: Final answer
    x = 1,242.37

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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.