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Finding the Fourth Proportional to 11,610.31, 16,028.87 and 7,642.95

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Solution

The fourth proportional to 11,610.31, 16,028.87 and 7,642.95 is: 10,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.31 : 16,028.87 = 7,642.95 : x
  2. Step 2: Convert to fraction form
    11,610.31/16,028.87 = 7,642.95/x
  3. Step 3: Cross multiply
    11,610.31x = 16,028.87 × 7,642.95
  4. Step 4: Simplify right side
    11,610.31x = 122,507,835.22
  5. Step 5: Solve for x
    x = 122,507,835.22/11,610.31
  6. Step 6: Final answer
    x = 10,551.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.