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Finding the Fourth Proportional to 1,913.26, 2,868.06 and 613.88

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Solution

The fourth proportional to 1,913.26, 2,868.06 and 613.88 is: 920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.26 : 2,868.06 = 613.88 : x
  2. Step 2: Convert to fraction form
    1,913.26/2,868.06 = 613.88/x
  3. Step 3: Cross multiply
    1,913.26x = 2,868.06 × 613.88
  4. Step 4: Simplify right side
    1,913.26x = 1,760,644.67
  5. Step 5: Solve for x
    x = 1,760,644.67/1,913.26
  6. Step 6: Final answer
    x = 920.23

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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.