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Finding the Fourth Proportional to 12,800.85, 19,205.78 and 6,563.80

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Solution

The fourth proportional to 12,800.85, 19,205.78 and 6,563.80 is: 9,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.85 : 19,205.78 = 6,563.80 : x
  2. Step 2: Convert to fraction form
    12,800.85/19,205.78 = 6,563.80/x
  3. Step 3: Cross multiply
    12,800.85x = 19,205.78 × 6,563.80
  4. Step 4: Simplify right side
    12,800.85x = 126,062,889.95
  5. Step 5: Solve for x
    x = 126,062,889.95/12,800.85
  6. Step 6: Final answer
    x = 9,848.01

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1.5x scale

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.