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Finding the Fourth Proportional to 6,144.32, 8,476.08 and 3,782.72

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Solution

The fourth proportional to 6,144.32, 8,476.08 and 3,782.72 is: 5,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.32 : 8,476.08 = 3,782.72 : x
  2. Step 2: Convert to fraction form
    6,144.32/8,476.08 = 3,782.72/x
  3. Step 3: Cross multiply
    6,144.32x = 8,476.08 × 3,782.72
  4. Step 4: Simplify right side
    6,144.32x = 32,062,637.34
  5. Step 5: Solve for x
    x = 32,062,637.34/6,144.32
  6. Step 6: Final answer
    x = 5,218.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.