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Finding the Fourth Proportional to 2,761.49, 4,142.18 and 1,006.49

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Solution

The fourth proportional to 2,761.49, 4,142.18 and 1,006.49 is: 1,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.49 : 4,142.18 = 1,006.49 : x
  2. Step 2: Convert to fraction form
    2,761.49/4,142.18 = 1,006.49/x
  3. Step 3: Cross multiply
    2,761.49x = 4,142.18 × 1,006.49
  4. Step 4: Simplify right side
    2,761.49x = 4,169,037.00
  5. Step 5: Solve for x
    x = 4,169,037.00/2,761.49
  6. Step 6: Final answer
    x = 1,509.71

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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.