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Finding the Fourth Proportional to 2,158.98, 2,977.74 and 1,449.54

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Solution

The fourth proportional to 2,158.98, 2,977.74 and 1,449.54 is: 1,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.98 : 2,977.74 = 1,449.54 : x
  2. Step 2: Convert to fraction form
    2,158.98/2,977.74 = 1,449.54/x
  3. Step 3: Cross multiply
    2,158.98x = 2,977.74 × 1,449.54
  4. Step 4: Simplify right side
    2,158.98x = 4,316,353.24
  5. Step 5: Solve for x
    x = 4,316,353.24/2,158.98
  6. Step 6: Final answer
    x = 1,999.26

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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.