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Finding the Fourth Proportional to 7,304.64, 10,959.84 and 2,688

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Solution

The fourth proportional to 7,304.64, 10,959.84 and 2,688 is: 4,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.64 : 10,959.84 = 2,688 : x
  2. Step 2: Convert to fraction form
    7,304.64/10,959.84 = 2,688/x
  3. Step 3: Cross multiply
    7,304.64x = 10,959.84 × 2,688
  4. Step 4: Simplify right side
    7,304.64x = 29,460,049.92
  5. Step 5: Solve for x
    x = 29,460,049.92/7,304.64
  6. Step 6: Final answer
    x = 4,033.06

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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.