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Finding the Fourth Proportional to 13,415.80, 20,102.10 and 6,832.12

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Solution

The fourth proportional to 13,415.80, 20,102.10 and 6,832.12 is: 10,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.80 : 20,102.10 = 6,832.12 : x
  2. Step 2: Convert to fraction form
    13,415.80/20,102.10 = 6,832.12/x
  3. Step 3: Cross multiply
    13,415.80x = 20,102.10 × 6,832.12
  4. Step 4: Simplify right side
    13,415.80x = 137,339,959.45
  5. Step 5: Solve for x
    x = 137,339,959.45/13,415.80
  6. Step 6: Final answer
    x = 10,237.18

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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.