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Finding the Fourth Proportional to 2,074.40, 3,111.90 and 613.56

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Solution

The fourth proportional to 2,074.40, 3,111.90 and 613.56 is: 920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.40 : 3,111.90 = 613.56 : x
  2. Step 2: Convert to fraction form
    2,074.40/3,111.90 = 613.56/x
  3. Step 3: Cross multiply
    2,074.40x = 3,111.90 × 613.56
  4. Step 4: Simplify right side
    2,074.40x = 1,909,337.36
  5. Step 5: Solve for x
    x = 1,909,337.36/2,074.40
  6. Step 6: Final answer
    x = 920.43

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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.