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Finding the Fourth Proportional to 13,422.60, 20,133.90 and 12,853.80

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Solution

The fourth proportional to 13,422.60, 20,133.90 and 12,853.80 is: 19,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.60 : 20,133.90 = 12,853.80 : x
  2. Step 2: Convert to fraction form
    13,422.60/20,133.90 = 12,853.80/x
  3. Step 3: Cross multiply
    13,422.60x = 20,133.90 × 12,853.80
  4. Step 4: Simplify right side
    13,422.60x = 258,797,123.82
  5. Step 5: Solve for x
    x = 258,797,123.82/13,422.60
  6. Step 6: Final answer
    x = 19,280.70

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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.