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Finding the Fourth Proportional to 2,590.88, 3,886.16 and 742

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Solution

The fourth proportional to 2,590.88, 3,886.16 and 742 is: 1,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.88 : 3,886.16 = 742 : x
  2. Step 2: Convert to fraction form
    2,590.88/3,886.16 = 742/x
  3. Step 3: Cross multiply
    2,590.88x = 3,886.16 × 742
  4. Step 4: Simplify right side
    2,590.88x = 2,883,530.72
  5. Step 5: Solve for x
    x = 2,883,530.72/2,590.88
  6. Step 6: Final answer
    x = 1,112.95

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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.