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Finding the Fourth Proportional to 14,402.88, 21,578.40 and 13,392

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Solution

The fourth proportional to 14,402.88, 21,578.40 and 13,392 is: 20,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.88 : 21,578.40 = 13,392 : x
  2. Step 2: Convert to fraction form
    14,402.88/21,578.40 = 13,392/x
  3. Step 3: Cross multiply
    14,402.88x = 21,578.40 × 13,392
  4. Step 4: Simplify right side
    14,402.88x = 288,977,932.80
  5. Step 5: Solve for x
    x = 288,977,932.80/14,402.88
  6. Step 6: Final answer
    x = 20,063.90

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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.