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Finding the Fourth Proportional to 7,165.84, 10,743.88 and 3,647.20

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Solution

The fourth proportional to 7,165.84, 10,743.88 and 3,647.20 is: 5,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.84 : 10,743.88 = 3,647.20 : x
  2. Step 2: Convert to fraction form
    7,165.84/10,743.88 = 3,647.20/x
  3. Step 3: Cross multiply
    7,165.84x = 10,743.88 × 3,647.20
  4. Step 4: Simplify right side
    7,165.84x = 39,185,079.14
  5. Step 5: Solve for x
    x = 39,185,079.14/7,165.84
  6. Step 6: Final answer
    x = 5,468.32

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Why These Related Problems?

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