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Finding the Fourth Proportional to 13,798.80, 20,698.20 and 3,410.55

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Solution

The fourth proportional to 13,798.80, 20,698.20 and 3,410.55 is: 5,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.80 : 20,698.20 = 3,410.55 : x
  2. Step 2: Convert to fraction form
    13,798.80/20,698.20 = 3,410.55/x
  3. Step 3: Cross multiply
    13,798.80x = 20,698.20 × 3,410.55
  4. Step 4: Simplify right side
    13,798.80x = 70,592,246.01
  5. Step 5: Solve for x
    x = 70,592,246.01/13,798.80
  6. Step 6: Final answer
    x = 5,115.83

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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.