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Finding the Fourth Proportional to 2,115.45, 3,173.31 and 654.48

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Solution

The fourth proportional to 2,115.45, 3,173.31 and 654.48 is: 981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.45 : 3,173.31 = 654.48 : x
  2. Step 2: Convert to fraction form
    2,115.45/3,173.31 = 654.48/x
  3. Step 3: Cross multiply
    2,115.45x = 3,173.31 × 654.48
  4. Step 4: Simplify right side
    2,115.45x = 2,076,867.93
  5. Step 5: Solve for x
    x = 2,076,867.93/2,115.45
  6. Step 6: Final answer
    x = 981.76

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1.5x scale

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.