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Finding the Fourth Proportional to 12,161.58, 16,783.02 and 6,856.44

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Solution

The fourth proportional to 12,161.58, 16,783.02 and 6,856.44 is: 9,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.58 : 16,783.02 = 6,856.44 : x
  2. Step 2: Convert to fraction form
    12,161.58/16,783.02 = 6,856.44/x
  3. Step 3: Cross multiply
    12,161.58x = 16,783.02 × 6,856.44
  4. Step 4: Simplify right side
    12,161.58x = 115,071,769.65
  5. Step 5: Solve for x
    x = 115,071,769.65/12,161.58
  6. Step 6: Final answer
    x = 9,461.91

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1.5x scale

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.