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Finding the Fourth Proportional to 13,200.80, 19,801.20 and 5,415.20

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Solution

The fourth proportional to 13,200.80, 19,801.20 and 5,415.20 is: 8,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.80 : 19,801.20 = 5,415.20 : x
  2. Step 2: Convert to fraction form
    13,200.80/19,801.20 = 5,415.20/x
  3. Step 3: Cross multiply
    13,200.80x = 19,801.20 × 5,415.20
  4. Step 4: Simplify right side
    13,200.80x = 107,227,458.24
  5. Step 5: Solve for x
    x = 107,227,458.24/13,200.80
  6. Step 6: Final answer
    x = 8,122.80

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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.