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Finding the Fourth Proportional to 13,286, 19,929 and 4,520.72

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Solution

The fourth proportional to 13,286, 19,929 and 4,520.72 is: 6,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286 : 19,929 = 4,520.72 : x
  2. Step 2: Convert to fraction form
    13,286/19,929 = 4,520.72/x
  3. Step 3: Cross multiply
    13,286x = 19,929 × 4,520.72
  4. Step 4: Simplify right side
    13,286x = 90,093,428.88
  5. Step 5: Solve for x
    x = 90,093,428.88/13,286
  6. Step 6: Final answer
    x = 6,781.08

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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.