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Finding the Fourth Proportional to 2,029.10, 3,042.79 and 642.06

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Solution

The fourth proportional to 2,029.10, 3,042.79 and 642.06 is: 962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.10 : 3,042.79 = 642.06 : x
  2. Step 2: Convert to fraction form
    2,029.10/3,042.79 = 642.06/x
  3. Step 3: Cross multiply
    2,029.10x = 3,042.79 × 642.06
  4. Step 4: Simplify right side
    2,029.10x = 1,953,652.14
  5. Step 5: Solve for x
    x = 1,953,652.14/2,029.10
  6. Step 6: Final answer
    x = 962.82

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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.