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Finding the Fourth Proportional to 15,652, 21,599.84 and 11,676.64

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Solution

The fourth proportional to 15,652, 21,599.84 and 11,676.64 is: 16,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652 : 21,599.84 = 11,676.64 : x
  2. Step 2: Convert to fraction form
    15,652/21,599.84 = 11,676.64/x
  3. Step 3: Cross multiply
    15,652x = 21,599.84 × 11,676.64
  4. Step 4: Simplify right side
    15,652x = 252,213,555.74
  5. Step 5: Solve for x
    x = 252,213,555.74/15,652
  6. Step 6: Final answer
    x = 16,113.82

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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.