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Finding the Fourth Proportional to 9,415.49, 12,996.87 and 8,083.85

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Solution

The fourth proportional to 9,415.49, 12,996.87 and 8,083.85 is: 11,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.49 : 12,996.87 = 8,083.85 : x
  2. Step 2: Convert to fraction form
    9,415.49/12,996.87 = 8,083.85/x
  3. Step 3: Cross multiply
    9,415.49x = 12,996.87 × 8,083.85
  4. Step 4: Simplify right side
    9,415.49x = 105,064,747.55
  5. Step 5: Solve for x
    x = 105,064,747.55/9,415.49
  6. Step 6: Final answer
    x = 11,158.71

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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.