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Finding the Fourth Proportional to 2,074, 3,109.98 and 613

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Solution

The fourth proportional to 2,074, 3,109.98 and 613 is: 919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074 : 3,109.98 = 613 : x
  2. Step 2: Convert to fraction form
    2,074/3,109.98 = 613/x
  3. Step 3: Cross multiply
    2,074x = 3,109.98 × 613
  4. Step 4: Simplify right side
    2,074x = 1,906,417.74
  5. Step 5: Solve for x
    x = 1,906,417.74/2,074
  6. Step 6: Final answer
    x = 919.20

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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.