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Finding the Fourth Proportional to 11,978.92, 16,533.08 and 6,946.36

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Solution

The fourth proportional to 11,978.92, 16,533.08 and 6,946.36 is: 9,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.92 : 16,533.08 = 6,946.36 : x
  2. Step 2: Convert to fraction form
    11,978.92/16,533.08 = 6,946.36/x
  3. Step 3: Cross multiply
    11,978.92x = 16,533.08 × 6,946.36
  4. Step 4: Simplify right side
    11,978.92x = 114,844,725.59
  5. Step 5: Solve for x
    x = 114,844,725.59/11,978.92
  6. Step 6: Final answer
    x = 9,587.24

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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.