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Finding the Fourth Proportional to 12,226.47, 16,872.62 and 6,637.47

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Solution

The fourth proportional to 12,226.47, 16,872.62 and 6,637.47 is: 9,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.47 : 16,872.62 = 6,637.47 : x
  2. Step 2: Convert to fraction form
    12,226.47/16,872.62 = 6,637.47/x
  3. Step 3: Cross multiply
    12,226.47x = 16,872.62 × 6,637.47
  4. Step 4: Simplify right side
    12,226.47x = 111,991,475.88
  5. Step 5: Solve for x
    x = 111,991,475.88/12,226.47
  6. Step 6: Final answer
    x = 9,159.76

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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.