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Finding the Fourth Proportional to 5,093.91, 7,640.22 and 1,971.79

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Solution

The fourth proportional to 5,093.91, 7,640.22 and 1,971.79 is: 2,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.91 : 7,640.22 = 1,971.79 : x
  2. Step 2: Convert to fraction form
    5,093.91/7,640.22 = 1,971.79/x
  3. Step 3: Cross multiply
    5,093.91x = 7,640.22 × 1,971.79
  4. Step 4: Simplify right side
    5,093.91x = 15,064,897.69
  5. Step 5: Solve for x
    x = 15,064,897.69/5,093.91
  6. Step 6: Final answer
    x = 2,957.43

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1.5x scale

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.