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Finding the Fourth Proportional to 2,991.68, 4,488.96 and 1,952

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Solution

The fourth proportional to 2,991.68, 4,488.96 and 1,952 is: 2,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.68 : 4,488.96 = 1,952 : x
  2. Step 2: Convert to fraction form
    2,991.68/4,488.96 = 1,952/x
  3. Step 3: Cross multiply
    2,991.68x = 4,488.96 × 1,952
  4. Step 4: Simplify right side
    2,991.68x = 8,762,449.92
  5. Step 5: Solve for x
    x = 8,762,449.92/2,991.68
  6. Step 6: Final answer
    x = 2,928.94

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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.