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Finding the Fourth Proportional to 21,833, 30,129.54 and 11,897

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Solution

The fourth proportional to 21,833, 30,129.54 and 11,897 is: 16,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833 : 30,129.54 = 11,897 : x
  2. Step 2: Convert to fraction form
    21,833/30,129.54 = 11,897/x
  3. Step 3: Cross multiply
    21,833x = 30,129.54 × 11,897
  4. Step 4: Simplify right side
    21,833x = 358,451,137.38
  5. Step 5: Solve for x
    x = 358,451,137.38/21,833
  6. Step 6: Final answer
    x = 16,417.86

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1.5x scale

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.