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Finding the Fourth Proportional to 2,112.30, 3,167.39 and 651.26

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Solution

The fourth proportional to 2,112.30, 3,167.39 and 651.26 is: 976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.30 : 3,167.39 = 651.26 : x
  2. Step 2: Convert to fraction form
    2,112.30/3,167.39 = 651.26/x
  3. Step 3: Cross multiply
    2,112.30x = 3,167.39 × 651.26
  4. Step 4: Simplify right side
    2,112.30x = 2,062,803.96
  5. Step 5: Solve for x
    x = 2,062,803.96/2,112.30
  6. Step 6: Final answer
    x = 976.57

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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.