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Finding the Fourth Proportional to 13,638.78, 20,443.02 and 5,314.86

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Solution

The fourth proportional to 13,638.78, 20,443.02 and 5,314.86 is: 7,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.78 : 20,443.02 = 5,314.86 : x
  2. Step 2: Convert to fraction form
    13,638.78/20,443.02 = 5,314.86/x
  3. Step 3: Cross multiply
    13,638.78x = 20,443.02 × 5,314.86
  4. Step 4: Simplify right side
    13,638.78x = 108,651,789.28
  5. Step 5: Solve for x
    x = 108,651,789.28/13,638.78
  6. Step 6: Final answer
    x = 7,966.39

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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.