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Finding the Fourth Proportional to 2,007.52, 3,011.16 and 620.75

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Solution

The fourth proportional to 2,007.52, 3,011.16 and 620.75 is: 931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.52 : 3,011.16 = 620.75 : x
  2. Step 2: Convert to fraction form
    2,007.52/3,011.16 = 620.75/x
  3. Step 3: Cross multiply
    2,007.52x = 3,011.16 × 620.75
  4. Step 4: Simplify right side
    2,007.52x = 1,869,177.57
  5. Step 5: Solve for x
    x = 1,869,177.57/2,007.52
  6. Step 6: Final answer
    x = 931.09

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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.