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Finding the Fourth Proportional to 2,073.07, 3,109.47 and 613.18

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Solution

The fourth proportional to 2,073.07, 3,109.47 and 613.18 is: 919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.07 : 3,109.47 = 613.18 : x
  2. Step 2: Convert to fraction form
    2,073.07/3,109.47 = 613.18/x
  3. Step 3: Cross multiply
    2,073.07x = 3,109.47 × 613.18
  4. Step 4: Simplify right side
    2,073.07x = 1,906,664.81
  5. Step 5: Solve for x
    x = 1,906,664.81/2,073.07
  6. Step 6: Final answer
    x = 919.73

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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.