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Finding the Fourth Proportional to 1,991.52, 3,005.64 and 1,939.68

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Solution

The fourth proportional to 1,991.52, 3,005.64 and 1,939.68 is: 2,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.52 : 3,005.64 = 1,939.68 : x
  2. Step 2: Convert to fraction form
    1,991.52/3,005.64 = 1,939.68/x
  3. Step 3: Cross multiply
    1,991.52x = 3,005.64 × 1,939.68
  4. Step 4: Simplify right side
    1,991.52x = 5,829,979.80
  5. Step 5: Solve for x
    x = 5,829,979.80/1,991.52
  6. Step 6: Final answer
    x = 2,927.40

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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.