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Finding the Fourth Proportional to 7,071.16, 9,725.74 and 5,670.84

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Solution

The fourth proportional to 7,071.16, 9,725.74 and 5,670.84 is: 7,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.16 : 9,725.74 = 5,670.84 : x
  2. Step 2: Convert to fraction form
    7,071.16/9,725.74 = 5,670.84/x
  3. Step 3: Cross multiply
    7,071.16x = 9,725.74 × 5,670.84
  4. Step 4: Simplify right side
    7,071.16x = 55,153,115.42
  5. Step 5: Solve for x
    x = 55,153,115.42/7,071.16
  6. Step 6: Final answer
    x = 7,799.73

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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.