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Finding the Fourth Proportional to 1,971.31, 2,942.53 and 1,737.75

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Solution

The fourth proportional to 1,971.31, 2,942.53 and 1,737.75 is: 2,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.31 : 2,942.53 = 1,737.75 : x
  2. Step 2: Convert to fraction form
    1,971.31/2,942.53 = 1,737.75/x
  3. Step 3: Cross multiply
    1,971.31x = 2,942.53 × 1,737.75
  4. Step 4: Simplify right side
    1,971.31x = 5,113,388.20
  5. Step 5: Solve for x
    x = 5,113,388.20/1,971.31
  6. Step 6: Final answer
    x = 2,593.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.