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Finding the Fourth Proportional to 4,891.68, 7,338.43 and 1,605.71

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Solution

The fourth proportional to 4,891.68, 7,338.43 and 1,605.71 is: 2,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.68 : 7,338.43 = 1,605.71 : x
  2. Step 2: Convert to fraction form
    4,891.68/7,338.43 = 1,605.71/x
  3. Step 3: Cross multiply
    4,891.68x = 7,338.43 × 1,605.71
  4. Step 4: Simplify right side
    4,891.68x = 11,783,390.44
  5. Step 5: Solve for x
    x = 11,783,390.44/4,891.68
  6. Step 6: Final answer
    x = 2,408.86

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1.5x scale

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.