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Finding the Fourth Proportional to 1,926.64, 2,891.35 and 1,488.98

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Solution

The fourth proportional to 1,926.64, 2,891.35 and 1,488.98 is: 2,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.64 : 2,891.35 = 1,488.98 : x
  2. Step 2: Convert to fraction form
    1,926.64/2,891.35 = 1,488.98/x
  3. Step 3: Cross multiply
    1,926.64x = 2,891.35 × 1,488.98
  4. Step 4: Simplify right side
    1,926.64x = 4,305,163.04
  5. Step 5: Solve for x
    x = 4,305,163.04/1,926.64
  6. Step 6: Final answer
    x = 2,234.55

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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.