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Finding the Fourth Proportional to 3,897.76, 5,375.35 and 3,047.13

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Solution

The fourth proportional to 3,897.76, 5,375.35 and 3,047.13 is: 4,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.76 : 5,375.35 = 3,047.13 : x
  2. Step 2: Convert to fraction form
    3,897.76/5,375.35 = 3,047.13/x
  3. Step 3: Cross multiply
    3,897.76x = 5,375.35 × 3,047.13
  4. Step 4: Simplify right side
    3,897.76x = 16,379,348.13
  5. Step 5: Solve for x
    x = 16,379,348.13/3,897.76
  6. Step 6: Final answer
    x = 4,202.25

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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.