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Finding the Fourth Proportional to 7,342.92, 10,133.31 and 3,985.76

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Solution

The fourth proportional to 7,342.92, 10,133.31 and 3,985.76 is: 5,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.92 : 10,133.31 = 3,985.76 : x
  2. Step 2: Convert to fraction form
    7,342.92/10,133.31 = 3,985.76/x
  3. Step 3: Cross multiply
    7,342.92x = 10,133.31 × 3,985.76
  4. Step 4: Simplify right side
    7,342.92x = 40,388,952.05
  5. Step 5: Solve for x
    x = 40,388,952.05/7,342.92
  6. Step 6: Final answer
    x = 5,500.39

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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.