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Finding the Fourth Proportional to 3,885.60, 5,361.96 and 2,207

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Solution

The fourth proportional to 3,885.60, 5,361.96 and 2,207 is: 3,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.60 : 5,361.96 = 2,207 : x
  2. Step 2: Convert to fraction form
    3,885.60/5,361.96 = 2,207/x
  3. Step 3: Cross multiply
    3,885.60x = 5,361.96 × 2,207
  4. Step 4: Simplify right side
    3,885.60x = 11,833,845.72
  5. Step 5: Solve for x
    x = 11,833,845.72/3,885.60
  6. Step 6: Final answer
    x = 3,045.56

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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.