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Finding the Fourth Proportional to 7,129.78, 10,695.21 and 1,936.06

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Solution

The fourth proportional to 7,129.78, 10,695.21 and 1,936.06 is: 2,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.78 : 10,695.21 = 1,936.06 : x
  2. Step 2: Convert to fraction form
    7,129.78/10,695.21 = 1,936.06/x
  3. Step 3: Cross multiply
    7,129.78x = 10,695.21 × 1,936.06
  4. Step 4: Simplify right side
    7,129.78x = 20,706,568.27
  5. Step 5: Solve for x
    x = 20,706,568.27/7,129.78
  6. Step 6: Final answer
    x = 2,904.24

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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.