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Finding the Fourth Proportional to 11,615.79, 16,036.43 and 7,648.44

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Solution

The fourth proportional to 11,615.79, 16,036.43 and 7,648.44 is: 10,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.79 : 16,036.43 = 7,648.44 : x
  2. Step 2: Convert to fraction form
    11,615.79/16,036.43 = 7,648.44/x
  3. Step 3: Cross multiply
    11,615.79x = 16,036.43 × 7,648.44
  4. Step 4: Simplify right side
    11,615.79x = 122,653,634.43
  5. Step 5: Solve for x
    x = 122,653,634.43/11,615.79
  6. Step 6: Final answer
    x = 10,559.22

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