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Finding the Fourth Proportional to 7,182.16, 10,764 and 6,997.60

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Solution

The fourth proportional to 7,182.16, 10,764 and 6,997.60 is: 10,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.16 : 10,764 = 6,997.60 : x
  2. Step 2: Convert to fraction form
    7,182.16/10,764 = 6,997.60/x
  3. Step 3: Cross multiply
    7,182.16x = 10,764 × 6,997.60
  4. Step 4: Simplify right side
    7,182.16x = 75,322,166.40
  5. Step 5: Solve for x
    x = 75,322,166.40/7,182.16
  6. Step 6: Final answer
    x = 10,487.40

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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.