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Finding the Fourth Proportional to 11,977, 16,532.58 and 7,009

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Solution

The fourth proportional to 11,977, 16,532.58 and 7,009 is: 9,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977 : 16,532.58 = 7,009 : x
  2. Step 2: Convert to fraction form
    11,977/16,532.58 = 7,009/x
  3. Step 3: Cross multiply
    11,977x = 16,532.58 × 7,009
  4. Step 4: Simplify right side
    11,977x = 115,876,853.22
  5. Step 5: Solve for x
    x = 115,876,853.22/11,977
  6. Step 6: Final answer
    x = 9,674.95

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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.