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Finding the Fourth Proportional to 6,520.80, 9,780.78 and 2,820.42

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Solution

The fourth proportional to 6,520.80, 9,780.78 and 2,820.42 is: 4,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.80 : 9,780.78 = 2,820.42 : x
  2. Step 2: Convert to fraction form
    6,520.80/9,780.78 = 2,820.42/x
  3. Step 3: Cross multiply
    6,520.80x = 9,780.78 × 2,820.42
  4. Step 4: Simplify right side
    6,520.80x = 27,585,907.53
  5. Step 5: Solve for x
    x = 27,585,907.53/6,520.80
  6. Step 6: Final answer
    x = 4,230.45

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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.