Home / 3,137.28-4,705.44-946.24

Finding the Fourth Proportional to 3,137.28, 4,705.44 and 946.24

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Solution

The fourth proportional to 3,137.28, 4,705.44 and 946.24 is: 1,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.28 : 4,705.44 = 946.24 : x
  2. Step 2: Convert to fraction form
    3,137.28/4,705.44 = 946.24/x
  3. Step 3: Cross multiply
    3,137.28x = 4,705.44 × 946.24
  4. Step 4: Simplify right side
    3,137.28x = 4,452,475.55
  5. Step 5: Solve for x
    x = 4,452,475.55/3,137.28
  6. Step 6: Final answer
    x = 1,419.22

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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.