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Finding the Fourth Proportional to 7,274, 10,960.52 and 6,478.32

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Solution

The fourth proportional to 7,274, 10,960.52 and 6,478.32 is: 9,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274 : 10,960.52 = 6,478.32 : x
  2. Step 2: Convert to fraction form
    7,274/10,960.52 = 6,478.32/x
  3. Step 3: Cross multiply
    7,274x = 10,960.52 × 6,478.32
  4. Step 4: Simplify right side
    7,274x = 71,005,755.93
  5. Step 5: Solve for x
    x = 71,005,755.93/7,274
  6. Step 6: Final answer
    x = 9,761.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.