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Finding the Fourth Proportional to 11,996.95, 17,995.43 and 6,442.65

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Solution

The fourth proportional to 11,996.95, 17,995.43 and 6,442.65 is: 9,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.95 : 17,995.43 = 6,442.65 : x
  2. Step 2: Convert to fraction form
    11,996.95/17,995.43 = 6,442.65/x
  3. Step 3: Cross multiply
    11,996.95x = 17,995.43 × 6,442.65
  4. Step 4: Simplify right side
    11,996.95x = 115,938,257.09
  5. Step 5: Solve for x
    x = 115,938,257.09/11,996.95
  6. Step 6: Final answer
    x = 9,663.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.