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Finding the Fourth Proportional to 2,007.57, 3,010.89 and 546.43

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Solution

The fourth proportional to 2,007.57, 3,010.89 and 546.43 is: 819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.57 : 3,010.89 = 546.43 : x
  2. Step 2: Convert to fraction form
    2,007.57/3,010.89 = 546.43/x
  3. Step 3: Cross multiply
    2,007.57x = 3,010.89 × 546.43
  4. Step 4: Simplify right side
    2,007.57x = 1,645,240.62
  5. Step 5: Solve for x
    x = 1,645,240.62/2,007.57
  6. Step 6: Final answer
    x = 819.52

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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.