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Finding the Fourth Proportional to 1,942.47, 2,914.77 and 902.96

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Solution

The fourth proportional to 1,942.47, 2,914.77 and 902.96 is: 1,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.47 : 2,914.77 = 902.96 : x
  2. Step 2: Convert to fraction form
    1,942.47/2,914.77 = 902.96/x
  3. Step 3: Cross multiply
    1,942.47x = 2,914.77 × 902.96
  4. Step 4: Simplify right side
    1,942.47x = 2,631,928.01
  5. Step 5: Solve for x
    x = 2,631,928.01/1,942.47
  6. Step 6: Final answer
    x = 1,354.94

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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.