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Finding the Fourth Proportional to 4,906.87, 7,364.94 and 1,789.89

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Solution

The fourth proportional to 4,906.87, 7,364.94 and 1,789.89 is: 2,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.87 : 7,364.94 = 1,789.89 : x
  2. Step 2: Convert to fraction form
    4,906.87/7,364.94 = 1,789.89/x
  3. Step 3: Cross multiply
    4,906.87x = 7,364.94 × 1,789.89
  4. Step 4: Simplify right side
    4,906.87x = 13,182,432.46
  5. Step 5: Solve for x
    x = 13,182,432.46/4,906.87
  6. Step 6: Final answer
    x = 2,686.53

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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.