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Finding the Fourth Proportional to 13,422.70, 20,134.05 and 4,188.70

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Solution

The fourth proportional to 13,422.70, 20,134.05 and 4,188.70 is: 6,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.70 : 20,134.05 = 4,188.70 : x
  2. Step 2: Convert to fraction form
    13,422.70/20,134.05 = 4,188.70/x
  3. Step 3: Cross multiply
    13,422.70x = 20,134.05 × 4,188.70
  4. Step 4: Simplify right side
    13,422.70x = 84,335,495.24
  5. Step 5: Solve for x
    x = 84,335,495.24/13,422.70
  6. Step 6: Final answer
    x = 6,283.05

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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.