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Finding the Fourth Proportional to 2,115.69, 3,173.63 and 654.86

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Solution

The fourth proportional to 2,115.69, 3,173.63 and 654.86 is: 982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.69 : 3,173.63 = 654.86 : x
  2. Step 2: Convert to fraction form
    2,115.69/3,173.63 = 654.86/x
  3. Step 3: Cross multiply
    2,115.69x = 3,173.63 × 654.86
  4. Step 4: Simplify right side
    2,115.69x = 2,078,264.20
  5. Step 5: Solve for x
    x = 2,078,264.20/2,115.69
  6. Step 6: Final answer
    x = 982.31

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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.