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Finding the Fourth Proportional to 2,815.67, 4,224.23 and 1,646.67

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Solution

The fourth proportional to 2,815.67, 4,224.23 and 1,646.67 is: 2,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.67 : 4,224.23 = 1,646.67 : x
  2. Step 2: Convert to fraction form
    2,815.67/4,224.23 = 1,646.67/x
  3. Step 3: Cross multiply
    2,815.67x = 4,224.23 × 1,646.67
  4. Step 4: Simplify right side
    2,815.67x = 6,955,891.69
  5. Step 5: Solve for x
    x = 6,955,891.69/2,815.67
  6. Step 6: Final answer
    x = 2,470.43

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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.