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Finding the Fourth Proportional to 1,072.36, 1,487.42 and 1,043.90

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Solution

The fourth proportional to 1,072.36, 1,487.42 and 1,043.90 is: 1,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.36 : 1,487.42 = 1,043.90 : x
  2. Step 2: Convert to fraction form
    1,072.36/1,487.42 = 1,043.90/x
  3. Step 3: Cross multiply
    1,072.36x = 1,487.42 × 1,043.90
  4. Step 4: Simplify right side
    1,072.36x = 1,552,722.94
  5. Step 5: Solve for x
    x = 1,552,722.94/1,072.36
  6. Step 6: Final answer
    x = 1,447.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.