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Finding the Fourth Proportional to 7,889.67, 11,835.09 and 2,695.50

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Solution

The fourth proportional to 7,889.67, 11,835.09 and 2,695.50 is: 4,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.67 : 11,835.09 = 2,695.50 : x
  2. Step 2: Convert to fraction form
    7,889.67/11,835.09 = 2,695.50/x
  3. Step 3: Cross multiply
    7,889.67x = 11,835.09 × 2,695.50
  4. Step 4: Simplify right side
    7,889.67x = 31,901,485.10
  5. Step 5: Solve for x
    x = 31,901,485.10/7,889.67
  6. Step 6: Final answer
    x = 4,043.45

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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.