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Finding the Fourth Proportional to 5,200.16, 7,780.80 and 3,009.92

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Solution

The fourth proportional to 5,200.16, 7,780.80 and 3,009.92 is: 4,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.16 : 7,780.80 = 3,009.92 : x
  2. Step 2: Convert to fraction form
    5,200.16/7,780.80 = 3,009.92/x
  3. Step 3: Cross multiply
    5,200.16x = 7,780.80 × 3,009.92
  4. Step 4: Simplify right side
    5,200.16x = 23,419,585.54
  5. Step 5: Solve for x
    x = 23,419,585.54/5,200.16
  6. Step 6: Final answer
    x = 4,503.63

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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.