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Finding the Fourth Proportional to 4,425.23, 6,640.86 and 1,828.15

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Solution

The fourth proportional to 4,425.23, 6,640.86 and 1,828.15 is: 2,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.23 : 6,640.86 = 1,828.15 : x
  2. Step 2: Convert to fraction form
    4,425.23/6,640.86 = 1,828.15/x
  3. Step 3: Cross multiply
    4,425.23x = 6,640.86 × 1,828.15
  4. Step 4: Simplify right side
    4,425.23x = 12,140,488.21
  5. Step 5: Solve for x
    x = 12,140,488.21/4,425.23
  6. Step 6: Final answer
    x = 2,743.47

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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.