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Finding the Fourth Proportional to 12,212.40, 16,853.44 and 6,908

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Solution

The fourth proportional to 12,212.40, 16,853.44 and 6,908 is: 9,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.40 : 16,853.44 = 6,908 : x
  2. Step 2: Convert to fraction form
    12,212.40/16,853.44 = 6,908/x
  3. Step 3: Cross multiply
    12,212.40x = 16,853.44 × 6,908
  4. Step 4: Simplify right side
    12,212.40x = 116,423,563.52
  5. Step 5: Solve for x
    x = 116,423,563.52/12,212.40
  6. Step 6: Final answer
    x = 9,533.23

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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.