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Finding the Fourth Proportional to 1,993.92, 2,989.71 and 606.84

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Solution

The fourth proportional to 1,993.92, 2,989.71 and 606.84 is: 909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.92 : 2,989.71 = 606.84 : x
  2. Step 2: Convert to fraction form
    1,993.92/2,989.71 = 606.84/x
  3. Step 3: Cross multiply
    1,993.92x = 2,989.71 × 606.84
  4. Step 4: Simplify right side
    1,993.92x = 1,814,281.22
  5. Step 5: Solve for x
    x = 1,814,281.22/1,993.92
  6. Step 6: Final answer
    x = 909.91

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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.