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Finding the Fourth Proportional to 12,162.90, 16,783.86 and 7,126.44

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Solution

The fourth proportional to 12,162.90, 16,783.86 and 7,126.44 is: 9,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.90 : 16,783.86 = 7,126.44 : x
  2. Step 2: Convert to fraction form
    12,162.90/16,783.86 = 7,126.44/x
  3. Step 3: Cross multiply
    12,162.90x = 16,783.86 × 7,126.44
  4. Step 4: Simplify right side
    12,162.90x = 119,609,171.26
  5. Step 5: Solve for x
    x = 119,609,171.26/12,162.90
  6. Step 6: Final answer
    x = 9,833.94

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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.