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Finding the Fourth Proportional to 15,629, 21,568.02 and 11,653.52

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Solution

The fourth proportional to 15,629, 21,568.02 and 11,653.52 is: 16,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,629 : 21,568.02 = 11,653.52 : x
  2. Step 2: Convert to fraction form
    15,629/21,568.02 = 11,653.52/x
  3. Step 3: Cross multiply
    15,629x = 21,568.02 × 11,653.52
  4. Step 4: Simplify right side
    15,629x = 251,343,352.43
  5. Step 5: Solve for x
    x = 251,343,352.43/15,629
  6. Step 6: Final answer
    x = 16,081.86

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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.