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Finding the Fourth Proportional to 13,598.40, 20,400.24 and 6,206.40

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Solution

The fourth proportional to 13,598.40, 20,400.24 and 6,206.40 is: 9,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.40 : 20,400.24 = 6,206.40 : x
  2. Step 2: Convert to fraction form
    13,598.40/20,400.24 = 6,206.40/x
  3. Step 3: Cross multiply
    13,598.40x = 20,400.24 × 6,206.40
  4. Step 4: Simplify right side
    13,598.40x = 126,612,049.54
  5. Step 5: Solve for x
    x = 126,612,049.54/13,598.40
  6. Step 6: Final answer
    x = 9,310.80

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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.