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Finding the Fourth Proportional to 7,413.78, 10,232.28 and 4,271.79

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Solution

The fourth proportional to 7,413.78, 10,232.28 and 4,271.79 is: 5,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.78 : 10,232.28 = 4,271.79 : x
  2. Step 2: Convert to fraction form
    7,413.78/10,232.28 = 4,271.79/x
  3. Step 3: Cross multiply
    7,413.78x = 10,232.28 × 4,271.79
  4. Step 4: Simplify right side
    7,413.78x = 43,710,151.38
  5. Step 5: Solve for x
    x = 43,710,151.38/7,413.78
  6. Step 6: Final answer
    x = 5,895.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.