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Finding the Fourth Proportional to 6,421, 8,861.08 and 3,626.52

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Solution

The fourth proportional to 6,421, 8,861.08 and 3,626.52 is: 5,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421 : 8,861.08 = 3,626.52 : x
  2. Step 2: Convert to fraction form
    6,421/8,861.08 = 3,626.52/x
  3. Step 3: Cross multiply
    6,421x = 8,861.08 × 3,626.52
  4. Step 4: Simplify right side
    6,421x = 32,134,883.84
  5. Step 5: Solve for x
    x = 32,134,883.84/6,421
  6. Step 6: Final answer
    x = 5,004.65

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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.