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Finding the Fourth Proportional to 2,285.43, 3,428.24 and 642.12

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Solution

The fourth proportional to 2,285.43, 3,428.24 and 642.12 is: 963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.43 : 3,428.24 = 642.12 : x
  2. Step 2: Convert to fraction form
    2,285.43/3,428.24 = 642.12/x
  3. Step 3: Cross multiply
    2,285.43x = 3,428.24 × 642.12
  4. Step 4: Simplify right side
    2,285.43x = 2,201,341.47
  5. Step 5: Solve for x
    x = 2,201,341.47/2,285.43
  6. Step 6: Final answer
    x = 963.21

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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.