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Finding the Fourth Proportional to 2,007.39, 3,011.36 and 620.84

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Solution

The fourth proportional to 2,007.39, 3,011.36 and 620.84 is: 931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.39 : 3,011.36 = 620.84 : x
  2. Step 2: Convert to fraction form
    2,007.39/3,011.36 = 620.84/x
  3. Step 3: Cross multiply
    2,007.39x = 3,011.36 × 620.84
  4. Step 4: Simplify right side
    2,007.39x = 1,869,581.05
  5. Step 5: Solve for x
    x = 1,869,581.05/2,007.39
  6. Step 6: Final answer
    x = 931.35

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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.