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Finding the Fourth Proportional to 21,282.96, 29,375.64 and 12,329

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Solution

The fourth proportional to 21,282.96, 29,375.64 and 12,329 is: 17,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282.96 : 29,375.64 = 12,329 : x
  2. Step 2: Convert to fraction form
    21,282.96/29,375.64 = 12,329/x
  3. Step 3: Cross multiply
    21,282.96x = 29,375.64 × 12,329
  4. Step 4: Simplify right side
    21,282.96x = 362,172,265.56
  5. Step 5: Solve for x
    x = 362,172,265.56/21,282.96
  6. Step 6: Final answer
    x = 17,017.01

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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.