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Finding the Fourth Proportional to 3,897.64, 5,378 and 2,325.88

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Solution

The fourth proportional to 3,897.64, 5,378 and 2,325.88 is: 3,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.64 : 5,378 = 2,325.88 : x
  2. Step 2: Convert to fraction form
    3,897.64/5,378 = 2,325.88/x
  3. Step 3: Cross multiply
    3,897.64x = 5,378 × 2,325.88
  4. Step 4: Simplify right side
    3,897.64x = 12,508,582.64
  5. Step 5: Solve for x
    x = 12,508,582.64/3,897.64
  6. Step 6: Final answer
    x = 3,209.27

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