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Finding the Fourth Proportional to 13,705, 20,560.38 and 5,497

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Solution

The fourth proportional to 13,705, 20,560.38 and 5,497 is: 8,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705 : 20,560.38 = 5,497 : x
  2. Step 2: Convert to fraction form
    13,705/20,560.38 = 5,497/x
  3. Step 3: Cross multiply
    13,705x = 20,560.38 × 5,497
  4. Step 4: Simplify right side
    13,705x = 113,020,408.86
  5. Step 5: Solve for x
    x = 113,020,408.86/13,705
  6. Step 6: Final answer
    x = 8,246.66

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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.