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Finding the Fourth Proportional to 2,157.59, 2,952 and 2,149.49

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Solution

The fourth proportional to 2,157.59, 2,952 and 2,149.49 is: 2,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.59 : 2,952 = 2,149.49 : x
  2. Step 2: Convert to fraction form
    2,157.59/2,952 = 2,149.49/x
  3. Step 3: Cross multiply
    2,157.59x = 2,952 × 2,149.49
  4. Step 4: Simplify right side
    2,157.59x = 6,345,279.72
  5. Step 5: Solve for x
    x = 6,345,279.72/2,157.59
  6. Step 6: Final answer
    x = 2,940.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.