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Finding the Fourth Proportional to 19,772, 27,290.22 and 11,393.36

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Solution

The fourth proportional to 19,772, 27,290.22 and 11,393.36 is: 15,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772 : 27,290.22 = 11,393.36 : x
  2. Step 2: Convert to fraction form
    19,772/27,290.22 = 11,393.36/x
  3. Step 3: Cross multiply
    19,772x = 27,290.22 × 11,393.36
  4. Step 4: Simplify right side
    19,772x = 310,927,300.94
  5. Step 5: Solve for x
    x = 310,927,300.94/19,772
  6. Step 6: Final answer
    x = 15,725.64

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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.