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Finding the Fourth Proportional to 3,085, 4,626.93 and 893.20

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Solution

The fourth proportional to 3,085, 4,626.93 and 893.20 is: 1,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085 : 4,626.93 = 893.20 : x
  2. Step 2: Convert to fraction form
    3,085/4,626.93 = 893.20/x
  3. Step 3: Cross multiply
    3,085x = 4,626.93 × 893.20
  4. Step 4: Simplify right side
    3,085x = 4,132,773.88
  5. Step 5: Solve for x
    x = 4,132,773.88/3,085
  6. Step 6: Final answer
    x = 1,339.63

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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.