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Finding the Fourth Proportional to 6,478.72, 8,940 and 3,683.68

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Solution

The fourth proportional to 6,478.72, 8,940 and 3,683.68 is: 5,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.72 : 8,940 = 3,683.68 : x
  2. Step 2: Convert to fraction form
    6,478.72/8,940 = 3,683.68/x
  3. Step 3: Cross multiply
    6,478.72x = 8,940 × 3,683.68
  4. Step 4: Simplify right side
    6,478.72x = 32,932,099.20
  5. Step 5: Solve for x
    x = 32,932,099.20/6,478.72
  6. Step 6: Final answer
    x = 5,083.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.