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Finding the Fourth Proportional to 4,935.71, 7,408.70 and 2,859.77

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Solution

The fourth proportional to 4,935.71, 7,408.70 and 2,859.77 is: 4,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.71 : 7,408.70 = 2,859.77 : x
  2. Step 2: Convert to fraction form
    4,935.71/7,408.70 = 2,859.77/x
  3. Step 3: Cross multiply
    4,935.71x = 7,408.70 × 2,859.77
  4. Step 4: Simplify right side
    4,935.71x = 21,187,163.70
  5. Step 5: Solve for x
    x = 21,187,163.70/4,935.71
  6. Step 6: Final answer
    x = 4,292.63

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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.