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Finding the Fourth Proportional to 2,102.96, 3,155 and 642.16

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Solution

The fourth proportional to 2,102.96, 3,155 and 642.16 is: 963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.96 : 3,155 = 642.16 : x
  2. Step 2: Convert to fraction form
    2,102.96/3,155 = 642.16/x
  3. Step 3: Cross multiply
    2,102.96x = 3,155 × 642.16
  4. Step 4: Simplify right side
    2,102.96x = 2,026,014.80
  5. Step 5: Solve for x
    x = 2,026,014.80/2,102.96
  6. Step 6: Final answer
    x = 963.41

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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.