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Finding the Fourth Proportional to 2,102.78, 3,153.89 and 642.08

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Solution

The fourth proportional to 2,102.78, 3,153.89 and 642.08 is: 963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.78 : 3,153.89 = 642.08 : x
  2. Step 2: Convert to fraction form
    2,102.78/3,153.89 = 642.08/x
  3. Step 3: Cross multiply
    2,102.78x = 3,153.89 × 642.08
  4. Step 4: Simplify right side
    2,102.78x = 2,025,030.71
  5. Step 5: Solve for x
    x = 2,025,030.71/2,102.78
  6. Step 6: Final answer
    x = 963.03

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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.