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Finding the Fourth Proportional to 7,886.72, 11,828.25 and 2,338.72

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Solution

The fourth proportional to 7,886.72, 11,828.25 and 2,338.72 is: 3,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.72 : 11,828.25 = 2,338.72 : x
  2. Step 2: Convert to fraction form
    7,886.72/11,828.25 = 2,338.72/x
  3. Step 3: Cross multiply
    7,886.72x = 11,828.25 × 2,338.72
  4. Step 4: Simplify right side
    7,886.72x = 27,662,964.84
  5. Step 5: Solve for x
    x = 27,662,964.84/7,886.72
  6. Step 6: Final answer
    x = 3,507.54

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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.