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Finding the Fourth Proportional to 19,950.40, 27,522.72 and 11,988

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Solution

The fourth proportional to 19,950.40, 27,522.72 and 11,988 is: 16,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,950.40 : 27,522.72 = 11,988 : x
  2. Step 2: Convert to fraction form
    19,950.40/27,522.72 = 11,988/x
  3. Step 3: Cross multiply
    19,950.40x = 27,522.72 × 11,988
  4. Step 4: Simplify right side
    19,950.40x = 329,942,367.36
  5. Step 5: Solve for x
    x = 329,942,367.36/19,950.40
  6. Step 6: Final answer
    x = 16,538.13

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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.