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Finding the Fourth Proportional to 2,157.84, 2,981.07 and 1,413.57

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Solution

The fourth proportional to 2,157.84, 2,981.07 and 1,413.57 is: 1,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.84 : 2,981.07 = 1,413.57 : x
  2. Step 2: Convert to fraction form
    2,157.84/2,981.07 = 1,413.57/x
  3. Step 3: Cross multiply
    2,157.84x = 2,981.07 × 1,413.57
  4. Step 4: Simplify right side
    2,157.84x = 4,213,951.12
  5. Step 5: Solve for x
    x = 4,213,951.12/2,157.84
  6. Step 6: Final answer
    x = 1,952.86

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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.