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Finding the Fourth Proportional to 10,957, 15,120.68 and 6,772.56

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Solution

The fourth proportional to 10,957, 15,120.68 and 6,772.56 is: 9,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957 : 15,120.68 = 6,772.56 : x
  2. Step 2: Convert to fraction form
    10,957/15,120.68 = 6,772.56/x
  3. Step 3: Cross multiply
    10,957x = 15,120.68 × 6,772.56
  4. Step 4: Simplify right side
    10,957x = 102,405,712.54
  5. Step 5: Solve for x
    x = 102,405,712.54/10,957
  6. Step 6: Final answer
    x = 9,346.15

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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.