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Finding the Fourth Proportional to 13,808.82, 20,713.23 and 3,420.57

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Solution

The fourth proportional to 13,808.82, 20,713.23 and 3,420.57 is: 5,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.82 : 20,713.23 = 3,420.57 : x
  2. Step 2: Convert to fraction form
    13,808.82/20,713.23 = 3,420.57/x
  3. Step 3: Cross multiply
    13,808.82x = 20,713.23 × 3,420.57
  4. Step 4: Simplify right side
    13,808.82x = 70,851,053.14
  5. Step 5: Solve for x
    x = 70,851,053.14/13,808.82
  6. Step 6: Final answer
    x = 5,130.86

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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.