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Finding the Fourth Proportional to 6,790.66, 10,186 and 1,860.34

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Solution

The fourth proportional to 6,790.66, 10,186 and 1,860.34 is: 2,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.66 : 10,186 = 1,860.34 : x
  2. Step 2: Convert to fraction form
    6,790.66/10,186 = 1,860.34/x
  3. Step 3: Cross multiply
    6,790.66x = 10,186 × 1,860.34
  4. Step 4: Simplify right side
    6,790.66x = 18,949,423.24
  5. Step 5: Solve for x
    x = 18,949,423.24/6,790.66
  6. Step 6: Final answer
    x = 2,790.51

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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.