Home / 1,977.24-2,967.27-937.47

Finding the Fourth Proportional to 1,977.24, 2,967.27 and 937.47

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Solution

The fourth proportional to 1,977.24, 2,967.27 and 937.47 is: 1,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.24 : 2,967.27 = 937.47 : x
  2. Step 2: Convert to fraction form
    1,977.24/2,967.27 = 937.47/x
  3. Step 3: Cross multiply
    1,977.24x = 2,967.27 × 937.47
  4. Step 4: Simplify right side
    1,977.24x = 2,781,734.22
  5. Step 5: Solve for x
    x = 2,781,734.22/1,977.24
  6. Step 6: Final answer
    x = 1,406.87

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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.