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Finding the Fourth Proportional to 5,779, 8,636.69 and 4,222.24

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Solution

The fourth proportional to 5,779, 8,636.69 and 4,222.24 is: 6,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779 : 8,636.69 = 4,222.24 : x
  2. Step 2: Convert to fraction form
    5,779/8,636.69 = 4,222.24/x
  3. Step 3: Cross multiply
    5,779x = 8,636.69 × 4,222.24
  4. Step 4: Simplify right side
    5,779x = 36,466,177.99
  5. Step 5: Solve for x
    x = 36,466,177.99/5,779
  6. Step 6: Final answer
    x = 6,310.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.