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Finding the Fourth Proportional to 12,364.14, 18,521.50 and 7,431.10

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Solution

The fourth proportional to 12,364.14, 18,521.50 and 7,431.10 is: 11,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.14 : 18,521.50 = 7,431.10 : x
  2. Step 2: Convert to fraction form
    12,364.14/18,521.50 = 7,431.10/x
  3. Step 3: Cross multiply
    12,364.14x = 18,521.50 × 7,431.10
  4. Step 4: Simplify right side
    12,364.14x = 137,635,118.65
  5. Step 5: Solve for x
    x = 137,635,118.65/12,364.14
  6. Step 6: Final answer
    x = 11,131.80

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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.