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Finding the Fourth Proportional to 3,085.14, 4,626.30 and 893.35

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Solution

The fourth proportional to 3,085.14, 4,626.30 and 893.35 is: 1,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.14 : 4,626.30 = 893.35 : x
  2. Step 2: Convert to fraction form
    3,085.14/4,626.30 = 893.35/x
  3. Step 3: Cross multiply
    3,085.14x = 4,626.30 × 893.35
  4. Step 4: Simplify right side
    3,085.14x = 4,132,905.11
  5. Step 5: Solve for x
    x = 4,132,905.11/3,085.14
  6. Step 6: Final answer
    x = 1,339.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.