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Finding the Fourth Proportional to 7,211.97, 9,957.02 and 5,530.14

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Solution

The fourth proportional to 7,211.97, 9,957.02 and 5,530.14 is: 7,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.97 : 9,957.02 = 5,530.14 : x
  2. Step 2: Convert to fraction form
    7,211.97/9,957.02 = 5,530.14/x
  3. Step 3: Cross multiply
    7,211.97x = 9,957.02 × 5,530.14
  4. Step 4: Simplify right side
    7,211.97x = 55,063,714.58
  5. Step 5: Solve for x
    x = 55,063,714.58/7,211.97
  6. Step 6: Final answer
    x = 7,635.04

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