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Finding the Fourth Proportional to 7,972.32, 10,976.72 and 7,234.21

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Solution

The fourth proportional to 7,972.32, 10,976.72 and 7,234.21 is: 9,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.32 : 10,976.72 = 7,234.21 : x
  2. Step 2: Convert to fraction form
    7,972.32/10,976.72 = 7,234.21/x
  3. Step 3: Cross multiply
    7,972.32x = 10,976.72 × 7,234.21
  4. Step 4: Simplify right side
    7,972.32x = 79,407,875.14
  5. Step 5: Solve for x
    x = 79,407,875.14/7,972.32
  6. Step 6: Final answer
    x = 9,960.44

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1.5x scale

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.