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Finding the Fourth Proportional to 8,972.64, 13,461.09 and 2,816.64

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Solution

The fourth proportional to 8,972.64, 13,461.09 and 2,816.64 is: 4,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.64 : 13,461.09 = 2,816.64 : x
  2. Step 2: Convert to fraction form
    8,972.64/13,461.09 = 2,816.64/x
  3. Step 3: Cross multiply
    8,972.64x = 13,461.09 × 2,816.64
  4. Step 4: Simplify right side
    8,972.64x = 37,915,044.54
  5. Step 5: Solve for x
    x = 37,915,044.54/8,972.64
  6. Step 6: Final answer
    x = 4,225.63

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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.