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Finding the Fourth Proportional to 6,478.95, 8,940.98 and 3,826.54

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Solution

The fourth proportional to 6,478.95, 8,940.98 and 3,826.54 is: 5,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.95 : 8,940.98 = 3,826.54 : x
  2. Step 2: Convert to fraction form
    6,478.95/8,940.98 = 3,826.54/x
  3. Step 3: Cross multiply
    6,478.95x = 8,940.98 × 3,826.54
  4. Step 4: Simplify right side
    6,478.95x = 34,213,038.35
  5. Step 5: Solve for x
    x = 34,213,038.35/6,478.95
  6. Step 6: Final answer
    x = 5,280.64

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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.