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Finding the Fourth Proportional to 6,458.53, 8,911.12 and 3,940.48

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Solution

The fourth proportional to 6,458.53, 8,911.12 and 3,940.48 is: 5,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.53 : 8,911.12 = 3,940.48 : x
  2. Step 2: Convert to fraction form
    6,458.53/8,911.12 = 3,940.48/x
  3. Step 3: Cross multiply
    6,458.53x = 8,911.12 × 3,940.48
  4. Step 4: Simplify right side
    6,458.53x = 35,114,090.14
  5. Step 5: Solve for x
    x = 35,114,090.14/6,458.53
  6. Step 6: Final answer
    x = 5,436.85

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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.