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Finding the Fourth Proportional to 7,049.17, 9,727.72 and 3,905.29

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Solution

The fourth proportional to 7,049.17, 9,727.72 and 3,905.29 is: 5,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.17 : 9,727.72 = 3,905.29 : x
  2. Step 2: Convert to fraction form
    7,049.17/9,727.72 = 3,905.29/x
  3. Step 3: Cross multiply
    7,049.17x = 9,727.72 × 3,905.29
  4. Step 4: Simplify right side
    7,049.17x = 37,989,567.64
  5. Step 5: Solve for x
    x = 37,989,567.64/7,049.17
  6. Step 6: Final answer
    x = 5,389.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.