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Finding the Fourth Proportional to 6,144.78, 8,478.86 and 3,455.48

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Solution

The fourth proportional to 6,144.78, 8,478.86 and 3,455.48 is: 4,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.78 : 8,478.86 = 3,455.48 : x
  2. Step 2: Convert to fraction form
    6,144.78/8,478.86 = 3,455.48/x
  3. Step 3: Cross multiply
    6,144.78x = 8,478.86 × 3,455.48
  4. Step 4: Simplify right side
    6,144.78x = 29,298,531.15
  5. Step 5: Solve for x
    x = 29,298,531.15/6,144.78
  6. Step 6: Final answer
    x = 4,768.04

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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.