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Finding the Fourth Proportional to 13,201.80, 19,802.70 and 11,560.20

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Solution

The fourth proportional to 13,201.80, 19,802.70 and 11,560.20 is: 17,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.80 : 19,802.70 = 11,560.20 : x
  2. Step 2: Convert to fraction form
    13,201.80/19,802.70 = 11,560.20/x
  3. Step 3: Cross multiply
    13,201.80x = 19,802.70 × 11,560.20
  4. Step 4: Simplify right side
    13,201.80x = 228,923,172.54
  5. Step 5: Solve for x
    x = 228,923,172.54/13,201.80
  6. Step 6: Final answer
    x = 17,340.30

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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.