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Finding the Fourth Proportional to 12,954.36, 19,398.74 and 8,009.01

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Solution

The fourth proportional to 12,954.36, 19,398.74 and 8,009.01 is: 11,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.36 : 19,398.74 = 8,009.01 : x
  2. Step 2: Convert to fraction form
    12,954.36/19,398.74 = 8,009.01/x
  3. Step 3: Cross multiply
    12,954.36x = 19,398.74 × 8,009.01
  4. Step 4: Simplify right side
    12,954.36x = 155,364,707.65
  5. Step 5: Solve for x
    x = 155,364,707.65/12,954.36
  6. Step 6: Final answer
    x = 11,993.23

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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.