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Finding the Fourth Proportional to 5,695.67, 7,857.06 and 3,805.13

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Solution

The fourth proportional to 5,695.67, 7,857.06 and 3,805.13 is: 5,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.67 : 7,857.06 = 3,805.13 : x
  2. Step 2: Convert to fraction form
    5,695.67/7,857.06 = 3,805.13/x
  3. Step 3: Cross multiply
    5,695.67x = 7,857.06 × 3,805.13
  4. Step 4: Simplify right side
    5,695.67x = 29,897,134.72
  5. Step 5: Solve for x
    x = 29,897,134.72/5,695.67
  6. Step 6: Final answer
    x = 5,249.10

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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.