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Finding the Fourth Proportional to 19,806.16, 27,326.64 and 11,308

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Solution

The fourth proportional to 19,806.16, 27,326.64 and 11,308 is: 15,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.16 : 27,326.64 = 11,308 : x
  2. Step 2: Convert to fraction form
    19,806.16/27,326.64 = 11,308/x
  3. Step 3: Cross multiply
    19,806.16x = 27,326.64 × 11,308
  4. Step 4: Simplify right side
    19,806.16x = 309,009,645.12
  5. Step 5: Solve for x
    x = 309,009,645.12/19,806.16
  6. Step 6: Final answer
    x = 15,601.69

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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.