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Finding the Fourth Proportional to 5,717.72, 7,889.16 and 3,620.64

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Solution

The fourth proportional to 5,717.72, 7,889.16 and 3,620.64 is: 4,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.72 : 7,889.16 = 3,620.64 : x
  2. Step 2: Convert to fraction form
    5,717.72/7,889.16 = 3,620.64/x
  3. Step 3: Cross multiply
    5,717.72x = 7,889.16 × 3,620.64
  4. Step 4: Simplify right side
    5,717.72x = 28,563,808.26
  5. Step 5: Solve for x
    x = 28,563,808.26/5,717.72
  6. Step 6: Final answer
    x = 4,995.66

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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.