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Finding the Fourth Proportional to 20,556.80, 30,835.20 and 7,409.60

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Solution

The fourth proportional to 20,556.80, 30,835.20 and 7,409.60 is: 11,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,556.80 : 30,835.20 = 7,409.60 : x
  2. Step 2: Convert to fraction form
    20,556.80/30,835.20 = 7,409.60/x
  3. Step 3: Cross multiply
    20,556.80x = 30,835.20 × 7,409.60
  4. Step 4: Simplify right side
    20,556.80x = 228,476,497.92
  5. Step 5: Solve for x
    x = 228,476,497.92/20,556.80
  6. Step 6: Final answer
    x = 11,114.40

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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.