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Finding the Fourth Proportional to 2,275.07, 3,413.42 and 959.15

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Solution

The fourth proportional to 2,275.07, 3,413.42 and 959.15 is: 1,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.07 : 3,413.42 = 959.15 : x
  2. Step 2: Convert to fraction form
    2,275.07/3,413.42 = 959.15/x
  3. Step 3: Cross multiply
    2,275.07x = 3,413.42 × 959.15
  4. Step 4: Simplify right side
    2,275.07x = 3,273,959.93
  5. Step 5: Solve for x
    x = 3,273,959.93/2,275.07
  6. Step 6: Final answer
    x = 1,439.06

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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.