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Finding the Fourth Proportional to 19,958.40, 27,540.72 and 11,574

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Solution

The fourth proportional to 19,958.40, 27,540.72 and 11,574 is: 15,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,958.40 : 27,540.72 = 11,574 : x
  2. Step 2: Convert to fraction form
    19,958.40/27,540.72 = 11,574/x
  3. Step 3: Cross multiply
    19,958.40x = 27,540.72 × 11,574
  4. Step 4: Simplify right side
    19,958.40x = 318,756,293.28
  5. Step 5: Solve for x
    x = 318,756,293.28/19,958.40
  6. Step 6: Final answer
    x = 15,971.03

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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.