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Finding the Fourth Proportional to 3,085.34, 4,626.92 and 893.62

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Solution

The fourth proportional to 3,085.34, 4,626.92 and 893.62 is: 1,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.34 : 4,626.92 = 893.62 : x
  2. Step 2: Convert to fraction form
    3,085.34/4,626.92 = 893.62/x
  3. Step 3: Cross multiply
    3,085.34x = 4,626.92 × 893.62
  4. Step 4: Simplify right side
    3,085.34x = 4,134,680.65
  5. Step 5: Solve for x
    x = 4,134,680.65/3,085.34
  6. Step 6: Final answer
    x = 1,340.11

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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.