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Finding the Fourth Proportional to 8,576, 12,864 and 2,420.16

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Solution

The fourth proportional to 8,576, 12,864 and 2,420.16 is: 3,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 12,864 = 2,420.16 : x
  2. Step 2: Convert to fraction form
    8,576/12,864 = 2,420.16/x
  3. Step 3: Cross multiply
    8,576x = 12,864 × 2,420.16
  4. Step 4: Simplify right side
    8,576x = 31,132,938.24
  5. Step 5: Solve for x
    x = 31,132,938.24/8,576
  6. Step 6: Final answer
    x = 3,630.24

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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.