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Finding the Fourth Proportional to 2,993.64, 4,485.78 and 1,951.80

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Solution

The fourth proportional to 2,993.64, 4,485.78 and 1,951.80 is: 2,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.64 : 4,485.78 = 1,951.80 : x
  2. Step 2: Convert to fraction form
    2,993.64/4,485.78 = 1,951.80/x
  3. Step 3: Cross multiply
    2,993.64x = 4,485.78 × 1,951.80
  4. Step 4: Simplify right side
    2,993.64x = 8,755,345.40
  5. Step 5: Solve for x
    x = 8,755,345.40/2,993.64
  6. Step 6: Final answer
    x = 2,924.65

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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.