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Finding the Fourth Proportional to 7,838.02, 11,749.74 and 2,640.25

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Solution

The fourth proportional to 7,838.02, 11,749.74 and 2,640.25 is: 3,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.02 : 11,749.74 = 2,640.25 : x
  2. Step 2: Convert to fraction form
    7,838.02/11,749.74 = 2,640.25/x
  3. Step 3: Cross multiply
    7,838.02x = 11,749.74 × 2,640.25
  4. Step 4: Simplify right side
    7,838.02x = 31,022,251.04
  5. Step 5: Solve for x
    x = 31,022,251.04/7,838.02
  6. Step 6: Final answer
    x = 3,957.92

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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.