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Finding the Fourth Proportional to 19,978.26, 27,569.75 and 11,480.28

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Solution

The fourth proportional to 19,978.26, 27,569.75 and 11,480.28 is: 15,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.26 : 27,569.75 = 11,480.28 : x
  2. Step 2: Convert to fraction form
    19,978.26/27,569.75 = 11,480.28/x
  3. Step 3: Cross multiply
    19,978.26x = 27,569.75 × 11,480.28
  4. Step 4: Simplify right side
    19,978.26x = 316,508,392.13
  5. Step 5: Solve for x
    x = 316,508,392.13/19,978.26
  6. Step 6: Final answer
    x = 15,842.64

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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.