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Finding the Fourth Proportional to 1,990.47, 3,001.63 and 1,963.11

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Solution

The fourth proportional to 1,990.47, 3,001.63 and 1,963.11 is: 2,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.47 : 3,001.63 = 1,963.11 : x
  2. Step 2: Convert to fraction form
    1,990.47/3,001.63 = 1,963.11/x
  3. Step 3: Cross multiply
    1,990.47x = 3,001.63 × 1,963.11
  4. Step 4: Simplify right side
    1,990.47x = 5,892,529.87
  5. Step 5: Solve for x
    x = 5,892,529.87/1,990.47
  6. Step 6: Final answer
    x = 2,960.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.