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Finding the Fourth Proportional to 19,782.36, 27,302.94 and 11,286

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Solution

The fourth proportional to 19,782.36, 27,302.94 and 11,286 is: 15,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.36 : 27,302.94 = 11,286 : x
  2. Step 2: Convert to fraction form
    19,782.36/27,302.94 = 11,286/x
  3. Step 3: Cross multiply
    19,782.36x = 27,302.94 × 11,286
  4. Step 4: Simplify right side
    19,782.36x = 308,140,980.84
  5. Step 5: Solve for x
    x = 308,140,980.84/19,782.36
  6. Step 6: Final answer
    x = 15,576.55

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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.