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Finding the Fourth Proportional to 12,325.88, 18,476 and 7,886.68

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Solution

The fourth proportional to 12,325.88, 18,476 and 7,886.68 is: 11,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.88 : 18,476 = 7,886.68 : x
  2. Step 2: Convert to fraction form
    12,325.88/18,476 = 7,886.68/x
  3. Step 3: Cross multiply
    12,325.88x = 18,476 × 7,886.68
  4. Step 4: Simplify right side
    12,325.88x = 145,714,299.68
  5. Step 5: Solve for x
    x = 145,714,299.68/12,325.88
  6. Step 6: Final answer
    x = 11,821.82

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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.