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Finding the Fourth Proportional to 19,726, 27,214.80 and 11,657.94

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Solution

The fourth proportional to 19,726, 27,214.80 and 11,657.94 is: 16,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726 : 27,214.80 = 11,657.94 : x
  2. Step 2: Convert to fraction form
    19,726/27,214.80 = 11,657.94/x
  3. Step 3: Cross multiply
    19,726x = 27,214.80 × 11,657.94
  4. Step 4: Simplify right side
    19,726x = 317,268,505.51
  5. Step 5: Solve for x
    x = 317,268,505.51/19,726
  6. Step 6: Final answer
    x = 16,083.77

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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.