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Finding the Fourth Proportional to 2,103.18, 3,153.88 and 642

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Solution

The fourth proportional to 2,103.18, 3,153.88 and 642 is: 962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.18 : 3,153.88 = 642 : x
  2. Step 2: Convert to fraction form
    2,103.18/3,153.88 = 642/x
  3. Step 3: Cross multiply
    2,103.18x = 3,153.88 × 642
  4. Step 4: Simplify right side
    2,103.18x = 2,024,790.96
  5. Step 5: Solve for x
    x = 2,024,790.96/2,103.18
  6. Step 6: Final answer
    x = 962.73

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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.