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Finding the Fourth Proportional to 8,085, 11,157.30 and 5,601

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Solution

The fourth proportional to 8,085, 11,157.30 and 5,601 is: 7,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085 : 11,157.30 = 5,601 : x
  2. Step 2: Convert to fraction form
    8,085/11,157.30 = 5,601/x
  3. Step 3: Cross multiply
    8,085x = 11,157.30 × 5,601
  4. Step 4: Simplify right side
    8,085x = 62,492,037.30
  5. Step 5: Solve for x
    x = 62,492,037.30/8,085
  6. Step 6: Final answer
    x = 7,729.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.