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Finding the Fourth Proportional to 2,471.76, 3,411.36 and 1,686

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Solution

The fourth proportional to 2,471.76, 3,411.36 and 1,686 is: 2,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.76 : 3,411.36 = 1,686 : x
  2. Step 2: Convert to fraction form
    2,471.76/3,411.36 = 1,686/x
  3. Step 3: Cross multiply
    2,471.76x = 3,411.36 × 1,686
  4. Step 4: Simplify right side
    2,471.76x = 5,751,552.96
  5. Step 5: Solve for x
    x = 5,751,552.96/2,471.76
  6. Step 6: Final answer
    x = 2,326.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.