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Finding the Fourth Proportional to 6,785.54, 10,172.54 and 3,086.48

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Solution

The fourth proportional to 6,785.54, 10,172.54 and 3,086.48 is: 4,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.54 : 10,172.54 = 3,086.48 : x
  2. Step 2: Convert to fraction form
    6,785.54/10,172.54 = 3,086.48/x
  3. Step 3: Cross multiply
    6,785.54x = 10,172.54 × 3,086.48
  4. Step 4: Simplify right side
    6,785.54x = 31,397,341.26
  5. Step 5: Solve for x
    x = 31,397,341.26/6,785.54
  6. Step 6: Final answer
    x = 4,627.10

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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.