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Finding the Fourth Proportional to 13,776.17, 20,658.09 and 3,913.14

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Solution

The fourth proportional to 13,776.17, 20,658.09 and 3,913.14 is: 5,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.17 : 20,658.09 = 3,913.14 : x
  2. Step 2: Convert to fraction form
    13,776.17/20,658.09 = 3,913.14/x
  3. Step 3: Cross multiply
    13,776.17x = 20,658.09 × 3,913.14
  4. Step 4: Simplify right side
    13,776.17x = 80,837,998.30
  5. Step 5: Solve for x
    x = 80,837,998.30/13,776.17
  6. Step 6: Final answer
    x = 5,867.96

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1.5x scale

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.