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Finding the Fourth Proportional to 2,688, 4,031.51 and 739.95

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Solution

The fourth proportional to 2,688, 4,031.51 and 739.95 is: 1,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688 : 4,031.51 = 739.95 : x
  2. Step 2: Convert to fraction form
    2,688/4,031.51 = 739.95/x
  3. Step 3: Cross multiply
    2,688x = 4,031.51 × 739.95
  4. Step 4: Simplify right side
    2,688x = 2,983,112.12
  5. Step 5: Solve for x
    x = 2,983,112.12/2,688
  6. Step 6: Final answer
    x = 1,109.79

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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.