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Finding the Fourth Proportional to 7,071.17, 9,755.42 and 4,086.46

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Solution

The fourth proportional to 7,071.17, 9,755.42 and 4,086.46 is: 5,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.17 : 9,755.42 = 4,086.46 : x
  2. Step 2: Convert to fraction form
    7,071.17/9,755.42 = 4,086.46/x
  3. Step 3: Cross multiply
    7,071.17x = 9,755.42 × 4,086.46
  4. Step 4: Simplify right side
    7,071.17x = 39,865,133.61
  5. Step 5: Solve for x
    x = 39,865,133.61/7,071.17
  6. Step 6: Final answer
    x = 5,637.70

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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.