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Finding the Fourth Proportional to 11,314, 16,972.44 and 3,106

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Solution

The fourth proportional to 11,314, 16,972.44 and 3,106 is: 4,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314 : 16,972.44 = 3,106 : x
  2. Step 2: Convert to fraction form
    11,314/16,972.44 = 3,106/x
  3. Step 3: Cross multiply
    11,314x = 16,972.44 × 3,106
  4. Step 4: Simplify right side
    11,314x = 52,716,398.64
  5. Step 5: Solve for x
    x = 52,716,398.64/11,314
  6. Step 6: Final answer
    x = 4,659.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.