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Finding the Fourth Proportional to 6,957, 9,600.66 and 3,813.20

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Solution

The fourth proportional to 6,957, 9,600.66 and 3,813.20 is: 5,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957 : 9,600.66 = 3,813.20 : x
  2. Step 2: Convert to fraction form
    6,957/9,600.66 = 3,813.20/x
  3. Step 3: Cross multiply
    6,957x = 9,600.66 × 3,813.20
  4. Step 4: Simplify right side
    6,957x = 36,609,236.71
  5. Step 5: Solve for x
    x = 36,609,236.71/6,957
  6. Step 6: Final answer
    x = 5,262.22

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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.