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Finding the Fourth Proportional to 2,028.76, 3,043.14 and 642.10

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Solution

The fourth proportional to 2,028.76, 3,043.14 and 642.10 is: 963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.76 : 3,043.14 = 642.10 : x
  2. Step 2: Convert to fraction form
    2,028.76/3,043.14 = 642.10/x
  3. Step 3: Cross multiply
    2,028.76x = 3,043.14 × 642.10
  4. Step 4: Simplify right side
    2,028.76x = 1,954,000.19
  5. Step 5: Solve for x
    x = 1,954,000.19/2,028.76
  6. Step 6: Final answer
    x = 963.15

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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.