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Finding the Fourth Proportional to 1,991.92, 2,984.64 and 1,578.82

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Solution

The fourth proportional to 1,991.92, 2,984.64 and 1,578.82 is: 2,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.92 : 2,984.64 = 1,578.82 : x
  2. Step 2: Convert to fraction form
    1,991.92/2,984.64 = 1,578.82/x
  3. Step 3: Cross multiply
    1,991.92x = 2,984.64 × 1,578.82
  4. Step 4: Simplify right side
    1,991.92x = 4,712,209.32
  5. Step 5: Solve for x
    x = 4,712,209.32/1,991.92
  6. Step 6: Final answer
    x = 2,365.66

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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.