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Finding the Fourth Proportional to 13,353.72, 20,031.72 and 3,492.99

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Solution

The fourth proportional to 13,353.72, 20,031.72 and 3,492.99 is: 5,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.72 : 20,031.72 = 3,492.99 : x
  2. Step 2: Convert to fraction form
    13,353.72/20,031.72 = 3,492.99/x
  3. Step 3: Cross multiply
    13,353.72x = 20,031.72 × 3,492.99
  4. Step 4: Simplify right side
    13,353.72x = 69,970,597.64
  5. Step 5: Solve for x
    x = 69,970,597.64/13,353.72
  6. Step 6: Final answer
    x = 5,239.78

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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.