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Finding the Fourth Proportional to 7,709.89, 11,564.86 and 1,866.49

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Solution

The fourth proportional to 7,709.89, 11,564.86 and 1,866.49 is: 2,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.89 : 11,564.86 = 1,866.49 : x
  2. Step 2: Convert to fraction form
    7,709.89/11,564.86 = 1,866.49/x
  3. Step 3: Cross multiply
    7,709.89x = 11,564.86 × 1,866.49
  4. Step 4: Simplify right side
    7,709.89x = 21,585,695.54
  5. Step 5: Solve for x
    x = 21,585,695.54/7,709.89
  6. Step 6: Final answer
    x = 2,799.74

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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.