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Finding the Fourth Proportional to 13,427.08, 20,117.88 and 8,222.08

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Solution

The fourth proportional to 13,427.08, 20,117.88 and 8,222.08 is: 12,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.08 : 20,117.88 = 8,222.08 : x
  2. Step 2: Convert to fraction form
    13,427.08/20,117.88 = 8,222.08/x
  3. Step 3: Cross multiply
    13,427.08x = 20,117.88 × 8,222.08
  4. Step 4: Simplify right side
    13,427.08x = 165,410,818.79
  5. Step 5: Solve for x
    x = 165,410,818.79/13,427.08
  6. Step 6: Final answer
    x = 12,319.20

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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.