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Finding the Fourth Proportional to 2,986.76, 4,480.16 and 1,687.92

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Solution

The fourth proportional to 2,986.76, 4,480.16 and 1,687.92 is: 2,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.76 : 4,480.16 = 1,687.92 : x
  2. Step 2: Convert to fraction form
    2,986.76/4,480.16 = 1,687.92/x
  3. Step 3: Cross multiply
    2,986.76x = 4,480.16 × 1,687.92
  4. Step 4: Simplify right side
    2,986.76x = 7,562,143.23
  5. Step 5: Solve for x
    x = 7,562,143.23/2,986.76
  6. Step 6: Final answer
    x = 2,531.89

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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.