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Finding the Fourth Proportional to 2,470.91, 3,413.41 and 1,972.89

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Solution

The fourth proportional to 2,470.91, 3,413.41 and 1,972.89 is: 2,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.91 : 3,413.41 = 1,972.89 : x
  2. Step 2: Convert to fraction form
    2,470.91/3,413.41 = 1,972.89/x
  3. Step 3: Cross multiply
    2,470.91x = 3,413.41 × 1,972.89
  4. Step 4: Simplify right side
    2,470.91x = 6,734,277.52
  5. Step 5: Solve for x
    x = 6,734,277.52/2,470.91
  6. Step 6: Final answer
    x = 2,725.43

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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.