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Finding the Fourth Proportional to 7,129.78, 10,686 and 5,050.39

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Solution

The fourth proportional to 7,129.78, 10,686 and 5,050.39 is: 7,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.78 : 10,686 = 5,050.39 : x
  2. Step 2: Convert to fraction form
    7,129.78/10,686 = 5,050.39/x
  3. Step 3: Cross multiply
    7,129.78x = 10,686 × 5,050.39
  4. Step 4: Simplify right side
    7,129.78x = 53,968,467.54
  5. Step 5: Solve for x
    x = 53,968,467.54/7,129.78
  6. Step 6: Final answer
    x = 7,569.44

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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.