Home / 3,137.82-4,707.36-946.74

Finding the Fourth Proportional to 3,137.82, 4,707.36 and 946.74

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Solution

The fourth proportional to 3,137.82, 4,707.36 and 946.74 is: 1,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.82 : 4,707.36 = 946.74 : x
  2. Step 2: Convert to fraction form
    3,137.82/4,707.36 = 946.74/x
  3. Step 3: Cross multiply
    3,137.82x = 4,707.36 × 946.74
  4. Step 4: Simplify right side
    3,137.82x = 4,456,646.01
  5. Step 5: Solve for x
    x = 4,456,646.01/3,137.82
  6. Step 6: Final answer
    x = 1,420.30

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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.