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Finding the Fourth Proportional to 7,226.80, 10,840.20 and 4,116.40

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Solution

The fourth proportional to 7,226.80, 10,840.20 and 4,116.40 is: 6,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.80 : 10,840.20 = 4,116.40 : x
  2. Step 2: Convert to fraction form
    7,226.80/10,840.20 = 4,116.40/x
  3. Step 3: Cross multiply
    7,226.80x = 10,840.20 × 4,116.40
  4. Step 4: Simplify right side
    7,226.80x = 44,622,599.28
  5. Step 5: Solve for x
    x = 44,622,599.28/7,226.80
  6. Step 6: Final answer
    x = 6,174.60

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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.