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Finding the Fourth Proportional to 2,847.66, 4,275.09 and 1,986.54

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Solution

The fourth proportional to 2,847.66, 4,275.09 and 1,986.54 is: 2,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.66 : 4,275.09 = 1,986.54 : x
  2. Step 2: Convert to fraction form
    2,847.66/4,275.09 = 1,986.54/x
  3. Step 3: Cross multiply
    2,847.66x = 4,275.09 × 1,986.54
  4. Step 4: Simplify right side
    2,847.66x = 8,492,637.29
  5. Step 5: Solve for x
    x = 8,492,637.29/2,847.66
  6. Step 6: Final answer
    x = 2,982.32

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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.