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Finding the Fourth Proportional to 13,798.09, 20,697.14 and 8,253.06

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Solution

The fourth proportional to 13,798.09, 20,697.14 and 8,253.06 is: 12,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.09 : 20,697.14 = 8,253.06 : x
  2. Step 2: Convert to fraction form
    13,798.09/20,697.14 = 8,253.06/x
  3. Step 3: Cross multiply
    13,798.09x = 20,697.14 × 8,253.06
  4. Step 4: Simplify right side
    13,798.09x = 170,814,738.25
  5. Step 5: Solve for x
    x = 170,814,738.25/13,798.09
  6. Step 6: Final answer
    x = 12,379.59

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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.