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Finding the Fourth Proportional to 8,576.50, 12,866.91 and 2,420.50

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Solution

The fourth proportional to 8,576.50, 12,866.91 and 2,420.50 is: 3,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.50 : 12,866.91 = 2,420.50 : x
  2. Step 2: Convert to fraction form
    8,576.50/12,866.91 = 2,420.50/x
  3. Step 3: Cross multiply
    8,576.50x = 12,866.91 × 2,420.50
  4. Step 4: Simplify right side
    8,576.50x = 31,144,355.66
  5. Step 5: Solve for x
    x = 31,144,355.66/8,576.50
  6. Step 6: Final answer
    x = 3,631.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.