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Finding the Fourth Proportional to 2,029.32, 3,044.16 and 642.96

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Solution

The fourth proportional to 2,029.32, 3,044.16 and 642.96 is: 964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.32 : 3,044.16 = 642.96 : x
  2. Step 2: Convert to fraction form
    2,029.32/3,044.16 = 642.96/x
  3. Step 3: Cross multiply
    2,029.32x = 3,044.16 × 642.96
  4. Step 4: Simplify right side
    2,029.32x = 1,957,273.11
  5. Step 5: Solve for x
    x = 1,957,273.11/2,029.32
  6. Step 6: Final answer
    x = 964.50

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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.