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Finding the Fourth Proportional to 19,842.36, 27,378.18 and 11,454

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Solution

The fourth proportional to 19,842.36, 27,378.18 and 11,454 is: 15,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.36 : 27,378.18 = 11,454 : x
  2. Step 2: Convert to fraction form
    19,842.36/27,378.18 = 11,454/x
  3. Step 3: Cross multiply
    19,842.36x = 27,378.18 × 11,454
  4. Step 4: Simplify right side
    19,842.36x = 313,589,673.72
  5. Step 5: Solve for x
    x = 313,589,673.72/19,842.36
  6. Step 6: Final answer
    x = 15,804.05

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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.