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Finding the Fourth Proportional to 13,798.90, 20,698.12 and 3,410.66

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Solution

The fourth proportional to 13,798.90, 20,698.12 and 3,410.66 is: 5,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.90 : 20,698.12 = 3,410.66 : x
  2. Step 2: Convert to fraction form
    13,798.90/20,698.12 = 3,410.66/x
  3. Step 3: Cross multiply
    13,798.90x = 20,698.12 × 3,410.66
  4. Step 4: Simplify right side
    13,798.90x = 70,594,249.96
  5. Step 5: Solve for x
    x = 70,594,249.96/13,798.90
  6. Step 6: Final answer
    x = 5,115.93

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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.