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Finding the Fourth Proportional to 11,604.32, 16,013.68 and 6,636

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Solution

The fourth proportional to 11,604.32, 16,013.68 and 6,636 is: 9,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.32 : 16,013.68 = 6,636 : x
  2. Step 2: Convert to fraction form
    11,604.32/16,013.68 = 6,636/x
  3. Step 3: Cross multiply
    11,604.32x = 16,013.68 × 6,636
  4. Step 4: Simplify right side
    11,604.32x = 106,266,780.48
  5. Step 5: Solve for x
    x = 106,266,780.48/11,604.32
  6. Step 6: Final answer
    x = 9,157.52

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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.