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Finding the Fourth Proportional to 2,275.84, 3,413.94 and 978.40

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Solution

The fourth proportional to 2,275.84, 3,413.94 and 978.40 is: 1,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.84 : 3,413.94 = 978.40 : x
  2. Step 2: Convert to fraction form
    2,275.84/3,413.94 = 978.40/x
  3. Step 3: Cross multiply
    2,275.84x = 3,413.94 × 978.40
  4. Step 4: Simplify right side
    2,275.84x = 3,340,198.90
  5. Step 5: Solve for x
    x = 3,340,198.90/2,275.84
  6. Step 6: Final answer
    x = 1,467.68

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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.