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Finding the Fourth Proportional to 6,686.40, 10,029.36 and 2,069.40

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Solution

The fourth proportional to 6,686.40, 10,029.36 and 2,069.40 is: 3,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.40 : 10,029.36 = 2,069.40 : x
  2. Step 2: Convert to fraction form
    6,686.40/10,029.36 = 2,069.40/x
  3. Step 3: Cross multiply
    6,686.40x = 10,029.36 × 2,069.40
  4. Step 4: Simplify right side
    6,686.40x = 20,754,757.58
  5. Step 5: Solve for x
    x = 20,754,757.58/6,686.40
  6. Step 6: Final answer
    x = 3,104.03

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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.