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Finding the Fourth Proportional to 11,600, 16,008 and 6,634.88

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Solution

The fourth proportional to 11,600, 16,008 and 6,634.88 is: 9,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600 : 16,008 = 6,634.88 : x
  2. Step 2: Convert to fraction form
    11,600/16,008 = 6,634.88/x
  3. Step 3: Cross multiply
    11,600x = 16,008 × 6,634.88
  4. Step 4: Simplify right side
    11,600x = 106,211,159.04
  5. Step 5: Solve for x
    x = 106,211,159.04/11,600
  6. Step 6: Final answer
    x = 9,156.13

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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.