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Finding the Fourth Proportional to 13,393.90, 20,090.86 and 5,494.96

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Solution

The fourth proportional to 13,393.90, 20,090.86 and 5,494.96 is: 8,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.90 : 20,090.86 = 5,494.96 : x
  2. Step 2: Convert to fraction form
    13,393.90/20,090.86 = 5,494.96/x
  3. Step 3: Cross multiply
    13,393.90x = 20,090.86 × 5,494.96
  4. Step 4: Simplify right side
    13,393.90x = 110,398,472.07
  5. Step 5: Solve for x
    x = 110,398,472.07/13,393.90
  6. Step 6: Final answer
    x = 8,242.44

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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.