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Finding the Fourth Proportional to 30,138, 41,590.50 and 16,890

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Solution

The fourth proportional to 30,138, 41,590.50 and 16,890 is: 23,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138 : 41,590.50 = 16,890 : x
  2. Step 2: Convert to fraction form
    30,138/41,590.50 = 16,890/x
  3. Step 3: Cross multiply
    30,138x = 41,590.50 × 16,890
  4. Step 4: Simplify right side
    30,138x = 702,463,545
  5. Step 5: Solve for x
    x = 702,463,545/30,138
  6. Step 6: Final answer
    x = 23,308.23

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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.