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Finding the Fourth Proportional to 3,084.76, 4,627.60 and 893.20

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Solution

The fourth proportional to 3,084.76, 4,627.60 and 893.20 is: 1,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.76 : 4,627.60 = 893.20 : x
  2. Step 2: Convert to fraction form
    3,084.76/4,627.60 = 893.20/x
  3. Step 3: Cross multiply
    3,084.76x = 4,627.60 × 893.20
  4. Step 4: Simplify right side
    3,084.76x = 4,133,372.32
  5. Step 5: Solve for x
    x = 4,133,372.32/3,084.76
  6. Step 6: Final answer
    x = 1,339.93

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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.