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Finding the Fourth Proportional to 2,472.82, 3,413.10 and 1,478.68

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Solution

The fourth proportional to 2,472.82, 3,413.10 and 1,478.68 is: 2,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.82 : 3,413.10 = 1,478.68 : x
  2. Step 2: Convert to fraction form
    2,472.82/3,413.10 = 1,478.68/x
  3. Step 3: Cross multiply
    2,472.82x = 3,413.10 × 1,478.68
  4. Step 4: Simplify right side
    2,472.82x = 5,046,882.71
  5. Step 5: Solve for x
    x = 5,046,882.71/2,472.82
  6. Step 6: Final answer
    x = 2,040.94

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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.