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Finding the Fourth Proportional to 5,357.76, 8,029.44 and 1,891.68

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Solution

The fourth proportional to 5,357.76, 8,029.44 and 1,891.68 is: 2,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.76 : 8,029.44 = 1,891.68 : x
  2. Step 2: Convert to fraction form
    5,357.76/8,029.44 = 1,891.68/x
  3. Step 3: Cross multiply
    5,357.76x = 8,029.44 × 1,891.68
  4. Step 4: Simplify right side
    5,357.76x = 15,189,131.06
  5. Step 5: Solve for x
    x = 15,189,131.06/5,357.76
  6. Step 6: Final answer
    x = 2,834.98

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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.