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Finding the Fourth Proportional to 2,127.02, 3,190.02 and 665.78

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Solution

The fourth proportional to 2,127.02, 3,190.02 and 665.78 is: 998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.02 : 3,190.02 = 665.78 : x
  2. Step 2: Convert to fraction form
    2,127.02/3,190.02 = 665.78/x
  3. Step 3: Cross multiply
    2,127.02x = 3,190.02 × 665.78
  4. Step 4: Simplify right side
    2,127.02x = 2,123,851.52
  5. Step 5: Solve for x
    x = 2,123,851.52/2,127.02
  6. Step 6: Final answer
    x = 998.51

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Double scale
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1.5x scale

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.