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Finding the Fourth Proportional to 12,202.78, 16,839.74 and 6,898.64

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Solution

The fourth proportional to 12,202.78, 16,839.74 and 6,898.64 is: 9,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.78 : 16,839.74 = 6,898.64 : x
  2. Step 2: Convert to fraction form
    12,202.78/16,839.74 = 6,898.64/x
  3. Step 3: Cross multiply
    12,202.78x = 16,839.74 × 6,898.64
  4. Step 4: Simplify right side
    12,202.78x = 116,171,303.95
  5. Step 5: Solve for x
    x = 116,171,303.95/12,202.78
  6. Step 6: Final answer
    x = 9,520.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.