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Finding the Fourth Proportional to 8,644, 12,955.04 and 5,522.80

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Solution

The fourth proportional to 8,644, 12,955.04 and 5,522.80 is: 8,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644 : 12,955.04 = 5,522.80 : x
  2. Step 2: Convert to fraction form
    8,644/12,955.04 = 5,522.80/x
  3. Step 3: Cross multiply
    8,644x = 12,955.04 × 5,522.80
  4. Step 4: Simplify right side
    8,644x = 71,548,094.91
  5. Step 5: Solve for x
    x = 71,548,094.91/8,644
  6. Step 6: Final answer
    x = 8,277.20

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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.