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Finding the Fourth Proportional to 4,986.72, 7,480.06 and 1,288.64

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Solution

The fourth proportional to 4,986.72, 7,480.06 and 1,288.64 is: 1,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.72 : 7,480.06 = 1,288.64 : x
  2. Step 2: Convert to fraction form
    4,986.72/7,480.06 = 1,288.64/x
  3. Step 3: Cross multiply
    4,986.72x = 7,480.06 × 1,288.64
  4. Step 4: Simplify right side
    4,986.72x = 9,639,063.90
  5. Step 5: Solve for x
    x = 9,639,063.90/4,986.72
  6. Step 6: Final answer
    x = 1,932.95

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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.