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Finding the Fourth Proportional to 7,071.10, 9,754.66 and 4,945.86

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Solution

The fourth proportional to 7,071.10, 9,754.66 and 4,945.86 is: 6,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.10 : 9,754.66 = 4,945.86 : x
  2. Step 2: Convert to fraction form
    7,071.10/9,754.66 = 4,945.86/x
  3. Step 3: Cross multiply
    7,071.10x = 9,754.66 × 4,945.86
  4. Step 4: Simplify right side
    7,071.10x = 48,245,188.89
  5. Step 5: Solve for x
    x = 48,245,188.89/7,071.10
  6. Step 6: Final answer
    x = 6,822.87

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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.