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Finding the Fourth Proportional to 19,945, 29,918.94 and 7,633

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Solution

The fourth proportional to 19,945, 29,918.94 and 7,633 is: 11,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,945 : 29,918.94 = 7,633 : x
  2. Step 2: Convert to fraction form
    19,945/29,918.94 = 7,633/x
  3. Step 3: Cross multiply
    19,945x = 29,918.94 × 7,633
  4. Step 4: Simplify right side
    19,945x = 228,371,269.02
  5. Step 5: Solve for x
    x = 228,371,269.02/19,945
  6. Step 6: Final answer
    x = 11,450.05

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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.