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Finding the Fourth Proportional to 2,158.98, 2,978.19 and 1,496.22

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Solution

The fourth proportional to 2,158.98, 2,978.19 and 1,496.22 is: 2,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.98 : 2,978.19 = 1,496.22 : x
  2. Step 2: Convert to fraction form
    2,158.98/2,978.19 = 1,496.22/x
  3. Step 3: Cross multiply
    2,158.98x = 2,978.19 × 1,496.22
  4. Step 4: Simplify right side
    2,158.98x = 4,456,027.44
  5. Step 5: Solve for x
    x = 4,456,027.44/2,158.98
  6. Step 6: Final answer
    x = 2,063.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.