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Finding the Fourth Proportional to 5,478.54, 8,203.22 and 4,280.64

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Solution

The fourth proportional to 5,478.54, 8,203.22 and 4,280.64 is: 6,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.54 : 8,203.22 = 4,280.64 : x
  2. Step 2: Convert to fraction form
    5,478.54/8,203.22 = 4,280.64/x
  3. Step 3: Cross multiply
    5,478.54x = 8,203.22 × 4,280.64
  4. Step 4: Simplify right side
    5,478.54x = 35,115,031.66
  5. Step 5: Solve for x
    x = 35,115,031.66/5,478.54
  6. Step 6: Final answer
    x = 6,409.56

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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.