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Finding the Fourth Proportional to 1,926.71, 2,889.97 and 1,339.97

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Solution

The fourth proportional to 1,926.71, 2,889.97 and 1,339.97 is: 2,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.71 : 2,889.97 = 1,339.97 : x
  2. Step 2: Convert to fraction form
    1,926.71/2,889.97 = 1,339.97/x
  3. Step 3: Cross multiply
    1,926.71x = 2,889.97 × 1,339.97
  4. Step 4: Simplify right side
    1,926.71x = 3,872,476.98
  5. Step 5: Solve for x
    x = 3,872,476.98/1,926.71
  6. Step 6: Final answer
    x = 2,009.90

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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.