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Finding the Fourth Proportional to 2,115.72, 3,173.93 and 654.58

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Solution

The fourth proportional to 2,115.72, 3,173.93 and 654.58 is: 981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.72 : 3,173.93 = 654.58 : x
  2. Step 2: Convert to fraction form
    2,115.72/3,173.93 = 654.58/x
  3. Step 3: Cross multiply
    2,115.72x = 3,173.93 × 654.58
  4. Step 4: Simplify right side
    2,115.72x = 2,077,591.10
  5. Step 5: Solve for x
    x = 2,077,591.10/2,115.72
  6. Step 6: Final answer
    x = 981.98

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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.