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Finding the Fourth Proportional to 13,201.80, 19,775.10 and 6,187.80

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Solution

The fourth proportional to 13,201.80, 19,775.10 and 6,187.80 is: 9,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.80 : 19,775.10 = 6,187.80 : x
  2. Step 2: Convert to fraction form
    13,201.80/19,775.10 = 6,187.80/x
  3. Step 3: Cross multiply
    13,201.80x = 19,775.10 × 6,187.80
  4. Step 4: Simplify right side
    13,201.80x = 122,364,363.78
  5. Step 5: Solve for x
    x = 122,364,363.78/13,201.80
  6. Step 6: Final answer
    x = 9,268.76

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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.