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Finding the Fourth Proportional to 3,435.43, 4,737.76 and 2,905.42

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Solution

The fourth proportional to 3,435.43, 4,737.76 and 2,905.42 is: 4,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.43 : 4,737.76 = 2,905.42 : x
  2. Step 2: Convert to fraction form
    3,435.43/4,737.76 = 2,905.42/x
  3. Step 3: Cross multiply
    3,435.43x = 4,737.76 × 2,905.42
  4. Step 4: Simplify right side
    3,435.43x = 13,765,186.06
  5. Step 5: Solve for x
    x = 13,765,186.06/3,435.43
  6. Step 6: Final answer
    x = 4,006.83

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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.