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Finding the Fourth Proportional to 3,320.64, 4,983 and 1,934.60

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Solution

The fourth proportional to 3,320.64, 4,983 and 1,934.60 is: 2,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.64 : 4,983 = 1,934.60 : x
  2. Step 2: Convert to fraction form
    3,320.64/4,983 = 1,934.60/x
  3. Step 3: Cross multiply
    3,320.64x = 4,983 × 1,934.60
  4. Step 4: Simplify right side
    3,320.64x = 9,640,111.80
  5. Step 5: Solve for x
    x = 9,640,111.80/3,320.64
  6. Step 6: Final answer
    x = 2,903.09

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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.