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Finding the Fourth Proportional to 7,212.24, 9,950.86 and 4,825.72

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Solution

The fourth proportional to 7,212.24, 9,950.86 and 4,825.72 is: 6,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.24 : 9,950.86 = 4,825.72 : x
  2. Step 2: Convert to fraction form
    7,212.24/9,950.86 = 4,825.72/x
  3. Step 3: Cross multiply
    7,212.24x = 9,950.86 × 4,825.72
  4. Step 4: Simplify right side
    7,212.24x = 48,020,064.12
  5. Step 5: Solve for x
    x = 48,020,064.12/7,212.24
  6. Step 6: Final answer
    x = 6,658.13

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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.