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Finding the Fourth Proportional to 2,102.85, 3,154.07 and 642.02

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Solution

The fourth proportional to 2,102.85, 3,154.07 and 642.02 is: 962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.85 : 3,154.07 = 642.02 : x
  2. Step 2: Convert to fraction form
    2,102.85/3,154.07 = 642.02/x
  3. Step 3: Cross multiply
    2,102.85x = 3,154.07 × 642.02
  4. Step 4: Simplify right side
    2,102.85x = 2,024,957.04
  5. Step 5: Solve for x
    x = 2,024,957.04/2,102.85
  6. Step 6: Final answer
    x = 962.96

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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.