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Finding the Fourth Proportional to 2,158.13, 2,978.36 and 1,226.63

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Solution

The fourth proportional to 2,158.13, 2,978.36 and 1,226.63 is: 1,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.13 : 2,978.36 = 1,226.63 : x
  2. Step 2: Convert to fraction form
    2,158.13/2,978.36 = 1,226.63/x
  3. Step 3: Cross multiply
    2,158.13x = 2,978.36 × 1,226.63
  4. Step 4: Simplify right side
    2,158.13x = 3,653,324.70
  5. Step 5: Solve for x
    x = 3,653,324.70/2,158.13
  6. Step 6: Final answer
    x = 1,692.82

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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.