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Finding the Fourth Proportional to 2,029.32, 3,043.97 and 661.32

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Solution

The fourth proportional to 2,029.32, 3,043.97 and 661.32 is: 991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.32 : 3,043.97 = 661.32 : x
  2. Step 2: Convert to fraction form
    2,029.32/3,043.97 = 661.32/x
  3. Step 3: Cross multiply
    2,029.32x = 3,043.97 × 661.32
  4. Step 4: Simplify right side
    2,029.32x = 2,013,023.02
  5. Step 5: Solve for x
    x = 2,013,023.02/2,029.32
  6. Step 6: Final answer
    x = 991.97

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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.