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Finding the Fourth Proportional to 6,420, 8,856.86 and 3,731.03

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Solution

The fourth proportional to 6,420, 8,856.86 and 3,731.03 is: 5,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420 : 8,856.86 = 3,731.03 : x
  2. Step 2: Convert to fraction form
    6,420/8,856.86 = 3,731.03/x
  3. Step 3: Cross multiply
    6,420x = 8,856.86 × 3,731.03
  4. Step 4: Simplify right side
    6,420x = 33,045,147.43
  5. Step 5: Solve for x
    x = 33,045,147.43/6,420
  6. Step 6: Final answer
    x = 5,147.22

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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.