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Finding the Fourth Proportional to 2,688, 4,053.12 and 2,181.12

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Solution

The fourth proportional to 2,688, 4,053.12 and 2,181.12 is: 3,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688 : 4,053.12 = 2,181.12 : x
  2. Step 2: Convert to fraction form
    2,688/4,053.12 = 2,181.12/x
  3. Step 3: Cross multiply
    2,688x = 4,053.12 × 2,181.12
  4. Step 4: Simplify right side
    2,688x = 8,840,341.09
  5. Step 5: Solve for x
    x = 8,840,341.09/2,688
  6. Step 6: Final answer
    x = 3,288.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.