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Finding the Fourth Proportional to 6,803.60, 10,206.84 and 2,186

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Solution

The fourth proportional to 6,803.60, 10,206.84 and 2,186 is: 3,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.60 : 10,206.84 = 2,186 : x
  2. Step 2: Convert to fraction form
    6,803.60/10,206.84 = 2,186/x
  3. Step 3: Cross multiply
    6,803.60x = 10,206.84 × 2,186
  4. Step 4: Simplify right side
    6,803.60x = 22,312,152.24
  5. Step 5: Solve for x
    x = 22,312,152.24/6,803.60
  6. Step 6: Final answer
    x = 3,279.46

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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.