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Finding the Fourth Proportional to 33,898, 46,779.24 and 20,650

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Solution

The fourth proportional to 33,898, 46,779.24 and 20,650 is: 28,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898 : 46,779.24 = 20,650 : x
  2. Step 2: Convert to fraction form
    33,898/46,779.24 = 20,650/x
  3. Step 3: Cross multiply
    33,898x = 46,779.24 × 20,650
  4. Step 4: Simplify right side
    33,898x = 965,991,306
  5. Step 5: Solve for x
    x = 965,991,306/33,898
  6. Step 6: Final answer
    x = 28,497

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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.