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Finding the Fourth Proportional to 2,102.66, 3,154.39 and 601.69

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Solution

The fourth proportional to 2,102.66, 3,154.39 and 601.69 is: 902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.66 : 3,154.39 = 601.69 : x
  2. Step 2: Convert to fraction form
    2,102.66/3,154.39 = 601.69/x
  3. Step 3: Cross multiply
    2,102.66x = 3,154.39 × 601.69
  4. Step 4: Simplify right side
    2,102.66x = 1,897,949.15
  5. Step 5: Solve for x
    x = 1,897,949.15/2,102.66
  6. Step 6: Final answer
    x = 902.64

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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.