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Finding the Fourth Proportional to 6,855.92, 10,283.78 and 1,661.76

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Solution

The fourth proportional to 6,855.92, 10,283.78 and 1,661.76 is: 2,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.92 : 10,283.78 = 1,661.76 : x
  2. Step 2: Convert to fraction form
    6,855.92/10,283.78 = 1,661.76/x
  3. Step 3: Cross multiply
    6,855.92x = 10,283.78 × 1,661.76
  4. Step 4: Simplify right side
    6,855.92x = 17,089,174.25
  5. Step 5: Solve for x
    x = 17,089,174.25/6,855.92
  6. Step 6: Final answer
    x = 2,492.62

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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.