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Finding the Fourth Proportional to 2,029.27, 3,043.64 and 642.62

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Solution

The fourth proportional to 2,029.27, 3,043.64 and 642.62 is: 963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.27 : 3,043.64 = 642.62 : x
  2. Step 2: Convert to fraction form
    2,029.27/3,043.64 = 642.62/x
  3. Step 3: Cross multiply
    2,029.27x = 3,043.64 × 642.62
  4. Step 4: Simplify right side
    2,029.27x = 1,955,885.51
  5. Step 5: Solve for x
    x = 1,955,885.51/2,029.27
  6. Step 6: Final answer
    x = 963.84

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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.