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Finding the Fourth Proportional to 2,115.89, 3,173.80 and 654.87

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Solution

The fourth proportional to 2,115.89, 3,173.80 and 654.87 is: 982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.89 : 3,173.80 = 654.87 : x
  2. Step 2: Convert to fraction form
    2,115.89/3,173.80 = 654.87/x
  3. Step 3: Cross multiply
    2,115.89x = 3,173.80 × 654.87
  4. Step 4: Simplify right side
    2,115.89x = 2,078,426.41
  5. Step 5: Solve for x
    x = 2,078,426.41/2,115.89
  6. Step 6: Final answer
    x = 982.29

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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.