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Finding the Fourth Proportional to 2,102.54, 3,154.10 and 641.66

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Solution

The fourth proportional to 2,102.54, 3,154.10 and 641.66 is: 962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.54 : 3,154.10 = 641.66 : x
  2. Step 2: Convert to fraction form
    2,102.54/3,154.10 = 641.66/x
  3. Step 3: Cross multiply
    2,102.54x = 3,154.10 × 641.66
  4. Step 4: Simplify right side
    2,102.54x = 2,023,840.83
  5. Step 5: Solve for x
    x = 2,023,840.83/2,102.54
  6. Step 6: Final answer
    x = 962.57

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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.