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Finding the Fourth Proportional to 13,407.20, 20,100.88 and 8,141.12

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Solution

The fourth proportional to 13,407.20, 20,100.88 and 8,141.12 is: 12,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.20 : 20,100.88 = 8,141.12 : x
  2. Step 2: Convert to fraction form
    13,407.20/20,100.88 = 8,141.12/x
  3. Step 3: Cross multiply
    13,407.20x = 20,100.88 × 8,141.12
  4. Step 4: Simplify right side
    13,407.20x = 163,643,676.19
  5. Step 5: Solve for x
    x = 163,643,676.19/13,407.20
  6. Step 6: Final answer
    x = 12,205.66

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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.