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Finding the Fourth Proportional to 13,427.90, 20,103.45 and 8,243.90

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Solution

The fourth proportional to 13,427.90, 20,103.45 and 8,243.90 is: 12,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.90 : 20,103.45 = 8,243.90 : x
  2. Step 2: Convert to fraction form
    13,427.90/20,103.45 = 8,243.90/x
  3. Step 3: Cross multiply
    13,427.90x = 20,103.45 × 8,243.90
  4. Step 4: Simplify right side
    13,427.90x = 165,730,831.46
  5. Step 5: Solve for x
    x = 165,730,831.46/13,427.90
  6. Step 6: Final answer
    x = 12,342.27

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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.