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Finding the Fourth Proportional to 22,800.40, 34,205.40 and 7,219.60

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Solution

The fourth proportional to 22,800.40, 34,205.40 and 7,219.60 is: 10,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800.40 : 34,205.40 = 7,219.60 : x
  2. Step 2: Convert to fraction form
    22,800.40/34,205.40 = 7,219.60/x
  3. Step 3: Cross multiply
    22,800.40x = 34,205.40 × 7,219.60
  4. Step 4: Simplify right side
    22,800.40x = 246,949,305.84
  5. Step 5: Solve for x
    x = 246,949,305.84/22,800.40
  6. Step 6: Final answer
    x = 10,830.92

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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.