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Finding the Fourth Proportional to 12,350.78, 18,530.94 and 7,423.96

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Solution

The fourth proportional to 12,350.78, 18,530.94 and 7,423.96 is: 11,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350.78 : 18,530.94 = 7,423.96 : x
  2. Step 2: Convert to fraction form
    12,350.78/18,530.94 = 7,423.96/x
  3. Step 3: Cross multiply
    12,350.78x = 18,530.94 × 7,423.96
  4. Step 4: Simplify right side
    12,350.78x = 137,572,957.32
  5. Step 5: Solve for x
    x = 137,572,957.32/12,350.78
  6. Step 6: Final answer
    x = 11,138.81

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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.