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Finding the Fourth Proportional to 6,880.80, 10,321.19 and 1,686.63

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Solution

The fourth proportional to 6,880.80, 10,321.19 and 1,686.63 is: 2,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.80 : 10,321.19 = 1,686.63 : x
  2. Step 2: Convert to fraction form
    6,880.80/10,321.19 = 1,686.63/x
  3. Step 3: Cross multiply
    6,880.80x = 10,321.19 × 1,686.63
  4. Step 4: Simplify right side
    6,880.80x = 17,408,028.69
  5. Step 5: Solve for x
    x = 17,408,028.69/6,880.80
  6. Step 6: Final answer
    x = 2,529.94

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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.