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Finding the Fourth Proportional to 9,997.78, 14,999.10 and 3,427.06

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Solution

The fourth proportional to 9,997.78, 14,999.10 and 3,427.06 is: 5,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.78 : 14,999.10 = 3,427.06 : x
  2. Step 2: Convert to fraction form
    9,997.78/14,999.10 = 3,427.06/x
  3. Step 3: Cross multiply
    9,997.78x = 14,999.10 × 3,427.06
  4. Step 4: Simplify right side
    9,997.78x = 51,402,815.65
  5. Step 5: Solve for x
    x = 51,402,815.65/9,997.78
  6. Step 6: Final answer
    x = 5,141.42

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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.