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Finding the Fourth Proportional to 3,084.75, 4,627.12 and 893.47

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Solution

The fourth proportional to 3,084.75, 4,627.12 and 893.47 is: 1,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.75 : 4,627.12 = 893.47 : x
  2. Step 2: Convert to fraction form
    3,084.75/4,627.12 = 893.47/x
  3. Step 3: Cross multiply
    3,084.75x = 4,627.12 × 893.47
  4. Step 4: Simplify right side
    3,084.75x = 4,134,211.60
  5. Step 5: Solve for x
    x = 4,134,211.60/3,084.75
  6. Step 6: Final answer
    x = 1,340.21

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1.5x scale

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.