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Finding the Fourth Proportional to 21,779, 32,668.66 and 5,363

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Solution

The fourth proportional to 21,779, 32,668.66 and 5,363 is: 8,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,779 : 32,668.66 = 5,363 : x
  2. Step 2: Convert to fraction form
    21,779/32,668.66 = 5,363/x
  3. Step 3: Cross multiply
    21,779x = 32,668.66 × 5,363
  4. Step 4: Simplify right side
    21,779x = 175,202,023.58
  5. Step 5: Solve for x
    x = 175,202,023.58/21,779
  6. Step 6: Final answer
    x = 8,044.54

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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.