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Finding the Fourth Proportional to 13,200.76, 19,801.06 and 5,409.56

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Solution

The fourth proportional to 13,200.76, 19,801.06 and 5,409.56 is: 8,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.76 : 19,801.06 = 5,409.56 : x
  2. Step 2: Convert to fraction form
    13,200.76/19,801.06 = 5,409.56/x
  3. Step 3: Cross multiply
    13,200.76x = 19,801.06 × 5,409.56
  4. Step 4: Simplify right side
    13,200.76x = 107,115,022.13
  5. Step 5: Solve for x
    x = 107,115,022.13/13,200.76
  6. Step 6: Final answer
    x = 8,114.31

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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.