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Finding the Fourth Proportional to 13,381.68, 20,072.34 and 4,147.68

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Solution

The fourth proportional to 13,381.68, 20,072.34 and 4,147.68 is: 6,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.68 : 20,072.34 = 4,147.68 : x
  2. Step 2: Convert to fraction form
    13,381.68/20,072.34 = 4,147.68/x
  3. Step 3: Cross multiply
    13,381.68x = 20,072.34 × 4,147.68
  4. Step 4: Simplify right side
    13,381.68x = 83,253,643.17
  5. Step 5: Solve for x
    x = 83,253,643.17/13,381.68
  6. Step 6: Final answer
    x = 6,221.46

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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.