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Finding the Fourth Proportional to 13,198.76, 19,798.06 and 5,407.56

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Solution

The fourth proportional to 13,198.76, 19,798.06 and 5,407.56 is: 8,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.76 : 19,798.06 = 5,407.56 : x
  2. Step 2: Convert to fraction form
    13,198.76/19,798.06 = 5,407.56/x
  3. Step 3: Cross multiply
    13,198.76x = 19,798.06 × 5,407.56
  4. Step 4: Simplify right side
    13,198.76x = 107,059,197.33
  5. Step 5: Solve for x
    x = 107,059,197.33/13,198.76
  6. Step 6: Final answer
    x = 8,111.31

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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.