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Finding the Fourth Proportional to 4,717.13, 7,071.03 and 2,638.13

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Solution

The fourth proportional to 4,717.13, 7,071.03 and 2,638.13 is: 3,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.13 : 7,071.03 = 2,638.13 : x
  2. Step 2: Convert to fraction form
    4,717.13/7,071.03 = 2,638.13/x
  3. Step 3: Cross multiply
    4,717.13x = 7,071.03 × 2,638.13
  4. Step 4: Simplify right side
    4,717.13x = 18,654,261.02
  5. Step 5: Solve for x
    x = 18,654,261.02/4,717.13
  6. Step 6: Final answer
    x = 3,954.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.