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Finding the Fourth Proportional to 5,986.74, 8,978.76 and 2,287.65

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Solution

The fourth proportional to 5,986.74, 8,978.76 and 2,287.65 is: 3,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.74 : 8,978.76 = 2,287.65 : x
  2. Step 2: Convert to fraction form
    5,986.74/8,978.76 = 2,287.65/x
  3. Step 3: Cross multiply
    5,986.74x = 8,978.76 × 2,287.65
  4. Step 4: Simplify right side
    5,986.74x = 20,540,260.31
  5. Step 5: Solve for x
    x = 20,540,260.31/5,986.74
  6. Step 6: Final answer
    x = 3,430.96

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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.