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Finding the Fourth Proportional to 6,215, 8,576.84 and 3,420.50

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Solution

The fourth proportional to 6,215, 8,576.84 and 3,420.50 is: 4,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215 : 8,576.84 = 3,420.50 : x
  2. Step 2: Convert to fraction form
    6,215/8,576.84 = 3,420.50/x
  3. Step 3: Cross multiply
    6,215x = 8,576.84 × 3,420.50
  4. Step 4: Simplify right side
    6,215x = 29,337,064.12
  5. Step 5: Solve for x
    x = 29,337,064.12/6,215
  6. Step 6: Final answer
    x = 4,720.36

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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.