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Finding the Fourth Proportional to 7,687, 11,530.50 and 2,756.94

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Solution

The fourth proportional to 7,687, 11,530.50 and 2,756.94 is: 4,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687 : 11,530.50 = 2,756.94 : x
  2. Step 2: Convert to fraction form
    7,687/11,530.50 = 2,756.94/x
  3. Step 3: Cross multiply
    7,687x = 11,530.50 × 2,756.94
  4. Step 4: Simplify right side
    7,687x = 31,788,896.67
  5. Step 5: Solve for x
    x = 31,788,896.67/7,687
  6. Step 6: Final answer
    x = 4,135.41

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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.