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Finding the Fourth Proportional to 2,029.01, 3,043.35 and 642.40

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Solution

The fourth proportional to 2,029.01, 3,043.35 and 642.40 is: 963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.01 : 3,043.35 = 642.40 : x
  2. Step 2: Convert to fraction form
    2,029.01/3,043.35 = 642.40/x
  3. Step 3: Cross multiply
    2,029.01x = 3,043.35 × 642.40
  4. Step 4: Simplify right side
    2,029.01x = 1,955,048.04
  5. Step 5: Solve for x
    x = 1,955,048.04/2,029.01
  6. Step 6: Final answer
    x = 963.55

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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.