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Finding the Fourth Proportional to 17,076.80, 25,622.40 and 8,307.20

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Solution

The fourth proportional to 17,076.80, 25,622.40 and 8,307.20 is: 12,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.80 : 25,622.40 = 8,307.20 : x
  2. Step 2: Convert to fraction form
    17,076.80/25,622.40 = 8,307.20/x
  3. Step 3: Cross multiply
    17,076.80x = 25,622.40 × 8,307.20
  4. Step 4: Simplify right side
    17,076.80x = 212,850,401.28
  5. Step 5: Solve for x
    x = 212,850,401.28/17,076.80
  6. Step 6: Final answer
    x = 12,464.30

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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.