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Finding the Fourth Proportional to 21,708.78, 29,958 and 12,148.68

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Solution

The fourth proportional to 21,708.78, 29,958 and 12,148.68 is: 16,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.78 : 29,958 = 12,148.68 : x
  2. Step 2: Convert to fraction form
    21,708.78/29,958 = 12,148.68/x
  3. Step 3: Cross multiply
    21,708.78x = 29,958 × 12,148.68
  4. Step 4: Simplify right side
    21,708.78x = 363,950,155.44
  5. Step 5: Solve for x
    x = 363,950,155.44/21,708.78
  6. Step 6: Final answer
    x = 16,765.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.