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Finding the Fourth Proportional to 6,823.40, 10,235.10 and 6,780.20

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Solution

The fourth proportional to 6,823.40, 10,235.10 and 6,780.20 is: 10,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.40 : 10,235.10 = 6,780.20 : x
  2. Step 2: Convert to fraction form
    6,823.40/10,235.10 = 6,780.20/x
  3. Step 3: Cross multiply
    6,823.40x = 10,235.10 × 6,780.20
  4. Step 4: Simplify right side
    6,823.40x = 69,396,025.02
  5. Step 5: Solve for x
    x = 69,396,025.02/6,823.40
  6. Step 6: Final answer
    x = 10,170.30

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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.