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Finding the Fourth Proportional to 1,942.31, 2,910.85 and 1,063.50

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Solution

The fourth proportional to 1,942.31, 2,910.85 and 1,063.50 is: 1,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.31 : 2,910.85 = 1,063.50 : x
  2. Step 2: Convert to fraction form
    1,942.31/2,910.85 = 1,063.50/x
  3. Step 3: Cross multiply
    1,942.31x = 2,910.85 × 1,063.50
  4. Step 4: Simplify right side
    1,942.31x = 3,095,681.38
  5. Step 5: Solve for x
    x = 3,095,681.38/1,942.31
  6. Step 6: Final answer
    x = 1,593.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.