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Finding the Fourth Proportional to 7,222.52, 9,964.10 and 4,865.42

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Solution

The fourth proportional to 7,222.52, 9,964.10 and 4,865.42 is: 6,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.52 : 9,964.10 = 4,865.42 : x
  2. Step 2: Convert to fraction form
    7,222.52/9,964.10 = 4,865.42/x
  3. Step 3: Cross multiply
    7,222.52x = 9,964.10 × 4,865.42
  4. Step 4: Simplify right side
    7,222.52x = 48,479,531.42
  5. Step 5: Solve for x
    x = 48,479,531.42/7,222.52
  6. Step 6: Final answer
    x = 6,712.27

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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.