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Finding the Fourth Proportional to 19,782.54, 29,653.30 and 12,369.98

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Solution

The fourth proportional to 19,782.54, 29,653.30 and 12,369.98 is: 18,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.54 : 29,653.30 = 12,369.98 : x
  2. Step 2: Convert to fraction form
    19,782.54/29,653.30 = 12,369.98/x
  3. Step 3: Cross multiply
    19,782.54x = 29,653.30 × 12,369.98
  4. Step 4: Simplify right side
    19,782.54x = 366,810,517.82
  5. Step 5: Solve for x
    x = 366,810,517.82/19,782.54
  6. Step 6: Final answer
    x = 18,542.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.