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Finding the Fourth Proportional to 6,415.56, 8,853.72 and 3,621

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Solution

The fourth proportional to 6,415.56, 8,853.72 and 3,621 is: 4,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.56 : 8,853.72 = 3,621 : x
  2. Step 2: Convert to fraction form
    6,415.56/8,853.72 = 3,621/x
  3. Step 3: Cross multiply
    6,415.56x = 8,853.72 × 3,621
  4. Step 4: Simplify right side
    6,415.56x = 32,059,320.12
  5. Step 5: Solve for x
    x = 32,059,320.12/6,415.56
  6. Step 6: Final answer
    x = 4,997.12

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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.