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Finding the Fourth Proportional to 12,169, 16,803.44 and 8,203.24

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Solution

The fourth proportional to 12,169, 16,803.44 and 8,203.24 is: 11,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169 : 16,803.44 = 8,203.24 : x
  2. Step 2: Convert to fraction form
    12,169/16,803.44 = 8,203.24/x
  3. Step 3: Cross multiply
    12,169x = 16,803.44 × 8,203.24
  4. Step 4: Simplify right side
    12,169x = 137,842,651.15
  5. Step 5: Solve for x
    x = 137,842,651.15/12,169
  6. Step 6: Final answer
    x = 11,327.36

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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.