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Finding the Fourth Proportional to 3,084.92, 4,628.16 and 893.80

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Solution

The fourth proportional to 3,084.92, 4,628.16 and 893.80 is: 1,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.92 : 4,628.16 = 893.80 : x
  2. Step 2: Convert to fraction form
    3,084.92/4,628.16 = 893.80/x
  3. Step 3: Cross multiply
    3,084.92x = 4,628.16 × 893.80
  4. Step 4: Simplify right side
    3,084.92x = 4,136,649.41
  5. Step 5: Solve for x
    x = 4,136,649.41/3,084.92
  6. Step 6: Final answer
    x = 1,340.93

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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.