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Finding the Fourth Proportional to 7,186.80, 10,780.12 and 6,209.84

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Solution

The fourth proportional to 7,186.80, 10,780.12 and 6,209.84 is: 9,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.80 : 10,780.12 = 6,209.84 : x
  2. Step 2: Convert to fraction form
    7,186.80/10,780.12 = 6,209.84/x
  3. Step 3: Cross multiply
    7,186.80x = 10,780.12 × 6,209.84
  4. Step 4: Simplify right side
    7,186.80x = 66,942,820.38
  5. Step 5: Solve for x
    x = 66,942,820.38/7,186.80
  6. Step 6: Final answer
    x = 9,314.69

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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.