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Finding the Fourth Proportional to 30,145, 41,600.16 and 16,897

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Solution

The fourth proportional to 30,145, 41,600.16 and 16,897 is: 23,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145 : 41,600.16 = 16,897 : x
  2. Step 2: Convert to fraction form
    30,145/41,600.16 = 16,897/x
  3. Step 3: Cross multiply
    30,145x = 41,600.16 × 16,897
  4. Step 4: Simplify right side
    30,145x = 702,917,903.52
  5. Step 5: Solve for x
    x = 702,917,903.52/30,145
  6. Step 6: Final answer
    x = 23,317.89

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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.