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Finding the Fourth Proportional to 6,328.32, 9,489.24 and 3,696.72

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Solution

The fourth proportional to 6,328.32, 9,489.24 and 3,696.72 is: 5,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.32 : 9,489.24 = 3,696.72 : x
  2. Step 2: Convert to fraction form
    6,328.32/9,489.24 = 3,696.72/x
  3. Step 3: Cross multiply
    6,328.32x = 9,489.24 × 3,696.72
  4. Step 4: Simplify right side
    6,328.32x = 35,079,063.29
  5. Step 5: Solve for x
    x = 35,079,063.29/6,328.32
  6. Step 6: Final answer
    x = 5,543.19

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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.