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Finding the Fourth Proportional to 3,897.92, 5,847.80 and 1,300.88

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Solution

The fourth proportional to 3,897.92, 5,847.80 and 1,300.88 is: 1,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.92 : 5,847.80 = 1,300.88 : x
  2. Step 2: Convert to fraction form
    3,897.92/5,847.80 = 1,300.88/x
  3. Step 3: Cross multiply
    3,897.92x = 5,847.80 × 1,300.88
  4. Step 4: Simplify right side
    3,897.92x = 7,607,286.06
  5. Step 5: Solve for x
    x = 7,607,286.06/3,897.92
  6. Step 6: Final answer
    x = 1,951.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.