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Finding the Fourth Proportional to 12,386.88, 18,576 and 4,064.64

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Solution

The fourth proportional to 12,386.88, 18,576 and 4,064.64 is: 6,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.88 : 18,576 = 4,064.64 : x
  2. Step 2: Convert to fraction form
    12,386.88/18,576 = 4,064.64/x
  3. Step 3: Cross multiply
    12,386.88x = 18,576 × 4,064.64
  4. Step 4: Simplify right side
    12,386.88x = 75,504,752.64
  5. Step 5: Solve for x
    x = 75,504,752.64/12,386.88
  6. Step 6: Final answer
    x = 6,095.54

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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.