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Finding the Fourth Proportional to 2,991.77, 4,488.54 and 2,160.71

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Solution

The fourth proportional to 2,991.77, 4,488.54 and 2,160.71 is: 3,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.77 : 4,488.54 = 2,160.71 : x
  2. Step 2: Convert to fraction form
    2,991.77/4,488.54 = 2,160.71/x
  3. Step 3: Cross multiply
    2,991.77x = 4,488.54 × 2,160.71
  4. Step 4: Simplify right side
    2,991.77x = 9,698,410.82
  5. Step 5: Solve for x
    x = 9,698,410.82/2,991.77
  6. Step 6: Final answer
    x = 3,241.70

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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.