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Finding the Fourth Proportional to 3,839.60, 5,298.71 and 2,267.69

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Solution

The fourth proportional to 3,839.60, 5,298.71 and 2,267.69 is: 3,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.60 : 5,298.71 = 2,267.69 : x
  2. Step 2: Convert to fraction form
    3,839.60/5,298.71 = 2,267.69/x
  3. Step 3: Cross multiply
    3,839.60x = 5,298.71 × 2,267.69
  4. Step 4: Simplify right side
    3,839.60x = 12,015,820.34
  5. Step 5: Solve for x
    x = 12,015,820.34/3,839.60
  6. Step 6: Final answer
    x = 3,129.45

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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.