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Finding the Fourth Proportional to 7,129.92, 10,695.42 and 1,935.72

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Solution

The fourth proportional to 7,129.92, 10,695.42 and 1,935.72 is: 2,903.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.92 : 10,695.42 = 1,935.72 : x
  2. Step 2: Convert to fraction form
    7,129.92/10,695.42 = 1,935.72/x
  3. Step 3: Cross multiply
    7,129.92x = 10,695.42 × 1,935.72
  4. Step 4: Simplify right side
    7,129.92x = 20,703,338.40
  5. Step 5: Solve for x
    x = 20,703,338.40/7,129.92
  6. Step 6: Final answer
    x = 2,903.73

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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.