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Finding the Fourth Proportional to 13,846.88, 20,778.95 and 5,638.88

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Solution

The fourth proportional to 13,846.88, 20,778.95 and 5,638.88 is: 8,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.88 : 20,778.95 = 5,638.88 : x
  2. Step 2: Convert to fraction form
    13,846.88/20,778.95 = 5,638.88/x
  3. Step 3: Cross multiply
    13,846.88x = 20,778.95 × 5,638.88
  4. Step 4: Simplify right side
    13,846.88x = 117,169,915.78
  5. Step 5: Solve for x
    x = 117,169,915.78/13,846.88
  6. Step 6: Final answer
    x = 8,461.83

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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.