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Finding the Fourth Proportional to 12,858.54, 19,288.67 and 4,964.82

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Solution

The fourth proportional to 12,858.54, 19,288.67 and 4,964.82 is: 7,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.54 : 19,288.67 = 4,964.82 : x
  2. Step 2: Convert to fraction form
    12,858.54/19,288.67 = 4,964.82/x
  3. Step 3: Cross multiply
    12,858.54x = 19,288.67 × 4,964.82
  4. Step 4: Simplify right side
    12,858.54x = 95,764,774.59
  5. Step 5: Solve for x
    x = 95,764,774.59/12,858.54
  6. Step 6: Final answer
    x = 7,447.56

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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.