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Finding the Fourth Proportional to 5,978.87, 8,968.30 and 2,470.86

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Solution

The fourth proportional to 5,978.87, 8,968.30 and 2,470.86 is: 3,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.87 : 8,968.30 = 2,470.86 : x
  2. Step 2: Convert to fraction form
    5,978.87/8,968.30 = 2,470.86/x
  3. Step 3: Cross multiply
    5,978.87x = 8,968.30 × 2,470.86
  4. Step 4: Simplify right side
    5,978.87x = 22,159,413.74
  5. Step 5: Solve for x
    x = 22,159,413.74/5,978.87
  6. Step 6: Final answer
    x = 3,706.29

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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.