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Finding the Fourth Proportional to 6,142.44, 8,477.93 and 3,903.88

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Solution

The fourth proportional to 6,142.44, 8,477.93 and 3,903.88 is: 5,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.44 : 8,477.93 = 3,903.88 : x
  2. Step 2: Convert to fraction form
    6,142.44/8,477.93 = 3,903.88/x
  3. Step 3: Cross multiply
    6,142.44x = 8,477.93 × 3,903.88
  4. Step 4: Simplify right side
    6,142.44x = 33,096,821.37
  5. Step 5: Solve for x
    x = 33,096,821.37/6,142.44
  6. Step 6: Final answer
    x = 5,388.22

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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.