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Finding the Fourth Proportional to 13,420.87, 20,131.30 and 4,186.87

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Solution

The fourth proportional to 13,420.87, 20,131.30 and 4,186.87 is: 6,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.87 : 20,131.30 = 4,186.87 : x
  2. Step 2: Convert to fraction form
    13,420.87/20,131.30 = 4,186.87/x
  3. Step 3: Cross multiply
    13,420.87x = 20,131.30 × 4,186.87
  4. Step 4: Simplify right side
    13,420.87x = 84,287,035.37
  5. Step 5: Solve for x
    x = 84,287,035.37/13,420.87
  6. Step 6: Final answer
    x = 6,280.30

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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.