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Finding the Fourth Proportional to 2,102.05, 3,152.49 and 621.60

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Solution

The fourth proportional to 2,102.05, 3,152.49 and 621.60 is: 932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.05 : 3,152.49 = 621.60 : x
  2. Step 2: Convert to fraction form
    2,102.05/3,152.49 = 621.60/x
  3. Step 3: Cross multiply
    2,102.05x = 3,152.49 × 621.60
  4. Step 4: Simplify right side
    2,102.05x = 1,959,587.78
  5. Step 5: Solve for x
    x = 1,959,587.78/2,102.05
  6. Step 6: Final answer
    x = 932.23

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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.