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Finding the Fourth Proportional to 12,201.81, 16,852.34 and 8,216.00

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Solution

The fourth proportional to 12,201.81, 16,852.34 and 8,216.00 is: 11,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.81 : 16,852.34 = 8,216.00 : x
  2. Step 2: Convert to fraction form
    12,201.81/16,852.34 = 8,216.00/x
  3. Step 3: Cross multiply
    12,201.81x = 16,852.34 × 8,216.00
  4. Step 4: Simplify right side
    12,201.81x = 138,458,700.10
  5. Step 5: Solve for x
    x = 138,458,700.10/12,201.81
  6. Step 6: Final answer
    x = 11,347.39

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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.