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Finding the Fourth Proportional to 9,200.40, 13,800.72 and 2,626.80

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Solution

The fourth proportional to 9,200.40, 13,800.72 and 2,626.80 is: 3,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.40 : 13,800.72 = 2,626.80 : x
  2. Step 2: Convert to fraction form
    9,200.40/13,800.72 = 2,626.80/x
  3. Step 3: Cross multiply
    9,200.40x = 13,800.72 × 2,626.80
  4. Step 4: Simplify right side
    9,200.40x = 36,251,731.30
  5. Step 5: Solve for x
    x = 36,251,731.30/9,200.40
  6. Step 6: Final answer
    x = 3,940.23

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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.