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Finding the Fourth Proportional to 1,838.00, 2,756.09 and 667.95

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Solution

The fourth proportional to 1,838.00, 2,756.09 and 667.95 is: 1,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.00 : 2,756.09 = 667.95 : x
  2. Step 2: Convert to fraction form
    1,838.00/2,756.09 = 667.95/x
  3. Step 3: Cross multiply
    1,838.00x = 2,756.09 × 667.95
  4. Step 4: Simplify right side
    1,838.00x = 1,840,926.98
  5. Step 5: Solve for x
    x = 1,840,926.98/1,838.00
  6. Step 6: Final answer
    x = 1,001.60

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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.