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Finding the Fourth Proportional to 13,963.70, 20,938.35 and 5,194.10

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Solution

The fourth proportional to 13,963.70, 20,938.35 and 5,194.10 is: 7,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.70 : 20,938.35 = 5,194.10 : x
  2. Step 2: Convert to fraction form
    13,963.70/20,938.35 = 5,194.10/x
  3. Step 3: Cross multiply
    13,963.70x = 20,938.35 × 5,194.10
  4. Step 4: Simplify right side
    13,963.70x = 108,755,883.74
  5. Step 5: Solve for x
    x = 108,755,883.74/13,963.70
  6. Step 6: Final answer
    x = 7,788.47

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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.