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Finding the Fourth Proportional to 13,446, 20,169 and 5,655.42

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Solution

The fourth proportional to 13,446, 20,169 and 5,655.42 is: 8,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446 : 20,169 = 5,655.42 : x
  2. Step 2: Convert to fraction form
    13,446/20,169 = 5,655.42/x
  3. Step 3: Cross multiply
    13,446x = 20,169 × 5,655.42
  4. Step 4: Simplify right side
    13,446x = 114,064,165.98
  5. Step 5: Solve for x
    x = 114,064,165.98/13,446
  6. Step 6: Final answer
    x = 8,483.13

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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.