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Finding the Fourth Proportional to 5,780.80, 7,975.92 and 3,683.20

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Solution

The fourth proportional to 5,780.80, 7,975.92 and 3,683.20 is: 5,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.80 : 7,975.92 = 3,683.20 : x
  2. Step 2: Convert to fraction form
    5,780.80/7,975.92 = 3,683.20/x
  3. Step 3: Cross multiply
    5,780.80x = 7,975.92 × 3,683.20
  4. Step 4: Simplify right side
    5,780.80x = 29,376,908.54
  5. Step 5: Solve for x
    x = 29,376,908.54/5,780.80
  6. Step 6: Final answer
    x = 5,081.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.