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Finding the Fourth Proportional to 13,813.95, 20,727.06 and 7,238.58

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Solution

The fourth proportional to 13,813.95, 20,727.06 and 7,238.58 is: 10,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.95 : 20,727.06 = 7,238.58 : x
  2. Step 2: Convert to fraction form
    13,813.95/20,727.06 = 7,238.58/x
  3. Step 3: Cross multiply
    13,813.95x = 20,727.06 × 7,238.58
  4. Step 4: Simplify right side
    13,813.95x = 150,034,377.10
  5. Step 5: Solve for x
    x = 150,034,377.10/13,813.95
  6. Step 6: Final answer
    x = 10,861.07

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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.