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Finding the Fourth Proportional to 10,275.78, 15,413.68 and 7,939.20

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Solution

The fourth proportional to 10,275.78, 15,413.68 and 7,939.20 is: 11,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.78 : 15,413.68 = 7,939.20 : x
  2. Step 2: Convert to fraction form
    10,275.78/15,413.68 = 7,939.20/x
  3. Step 3: Cross multiply
    10,275.78x = 15,413.68 × 7,939.20
  4. Step 4: Simplify right side
    10,275.78x = 122,372,288.26
  5. Step 5: Solve for x
    x = 122,372,288.26/10,275.78
  6. Step 6: Final answer
    x = 11,908.81

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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.