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Finding the Fourth Proportional to 12,193.89, 16,807.44 and 8,159.28

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Solution

The fourth proportional to 12,193.89, 16,807.44 and 8,159.28 is: 11,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.89 : 16,807.44 = 8,159.28 : x
  2. Step 2: Convert to fraction form
    12,193.89/16,807.44 = 8,159.28/x
  3. Step 3: Cross multiply
    12,193.89x = 16,807.44 × 8,159.28
  4. Step 4: Simplify right side
    12,193.89x = 137,136,507.42
  5. Step 5: Solve for x
    x = 137,136,507.42/12,193.89
  6. Step 6: Final answer
    x = 11,246.33

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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.