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Finding the Fourth Proportional to 12,409.88, 18,615.02 and 3,644.87

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Solution

The fourth proportional to 12,409.88, 18,615.02 and 3,644.87 is: 5,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.88 : 18,615.02 = 3,644.87 : x
  2. Step 2: Convert to fraction form
    12,409.88/18,615.02 = 3,644.87/x
  3. Step 3: Cross multiply
    12,409.88x = 18,615.02 × 3,644.87
  4. Step 4: Simplify right side
    12,409.88x = 67,849,216.65
  5. Step 5: Solve for x
    x = 67,849,216.65/12,409.88
  6. Step 6: Final answer
    x = 5,467.36

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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.