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Finding the Fourth Proportional to 2,471.76, 3,707.84 and 828.32

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Solution

The fourth proportional to 2,471.76, 3,707.84 and 828.32 is: 1,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.76 : 3,707.84 = 828.32 : x
  2. Step 2: Convert to fraction form
    2,471.76/3,707.84 = 828.32/x
  3. Step 3: Cross multiply
    2,471.76x = 3,707.84 × 828.32
  4. Step 4: Simplify right side
    2,471.76x = 3,071,278.03
  5. Step 5: Solve for x
    x = 3,071,278.03/2,471.76
  6. Step 6: Final answer
    x = 1,242.55

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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.