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Finding the Fourth Proportional to 6,800.20, 10,200.30 and 2,583.40

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Solution

The fourth proportional to 6,800.20, 10,200.30 and 2,583.40 is: 3,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.20 : 10,200.30 = 2,583.40 : x
  2. Step 2: Convert to fraction form
    6,800.20/10,200.30 = 2,583.40/x
  3. Step 3: Cross multiply
    6,800.20x = 10,200.30 × 2,583.40
  4. Step 4: Simplify right side
    6,800.20x = 26,351,455.02
  5. Step 5: Solve for x
    x = 26,351,455.02/6,800.20
  6. Step 6: Final answer
    x = 3,875.10

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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.