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Finding the Fourth Proportional to 1,942.02, 2,910.93 and 955.53

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Solution

The fourth proportional to 1,942.02, 2,910.93 and 955.53 is: 1,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.02 : 2,910.93 = 955.53 : x
  2. Step 2: Convert to fraction form
    1,942.02/2,910.93 = 955.53/x
  3. Step 3: Cross multiply
    1,942.02x = 2,910.93 × 955.53
  4. Step 4: Simplify right side
    1,942.02x = 2,781,480.94
  5. Step 5: Solve for x
    x = 2,781,480.94/1,942.02
  6. Step 6: Final answer
    x = 1,432.26

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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.