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Finding the Fourth Proportional to 6,438.42, 9,662.22 and 2,741.64

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Solution

The fourth proportional to 6,438.42, 9,662.22 and 2,741.64 is: 4,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.42 : 9,662.22 = 2,741.64 : x
  2. Step 2: Convert to fraction form
    6,438.42/9,662.22 = 2,741.64/x
  3. Step 3: Cross multiply
    6,438.42x = 9,662.22 × 2,741.64
  4. Step 4: Simplify right side
    6,438.42x = 26,490,328.84
  5. Step 5: Solve for x
    x = 26,490,328.84/6,438.42
  6. Step 6: Final answer
    x = 4,114.41

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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.