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Finding the Fourth Proportional to 2,471.52, 3,707.44 and 828.08

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Solution

The fourth proportional to 2,471.52, 3,707.44 and 828.08 is: 1,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.52 : 3,707.44 = 828.08 : x
  2. Step 2: Convert to fraction form
    2,471.52/3,707.44 = 828.08/x
  3. Step 3: Cross multiply
    2,471.52x = 3,707.44 × 828.08
  4. Step 4: Simplify right side
    2,471.52x = 3,070,056.92
  5. Step 5: Solve for x
    x = 3,070,056.92/2,471.52
  6. Step 6: Final answer
    x = 1,242.17

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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.