Home / 3,137.50-4,706.24-946.15

Finding the Fourth Proportional to 3,137.50, 4,706.24 and 946.15

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Solution

The fourth proportional to 3,137.50, 4,706.24 and 946.15 is: 1,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.50 : 4,706.24 = 946.15 : x
  2. Step 2: Convert to fraction form
    3,137.50/4,706.24 = 946.15/x
  3. Step 3: Cross multiply
    3,137.50x = 4,706.24 × 946.15
  4. Step 4: Simplify right side
    3,137.50x = 4,452,792.48
  5. Step 5: Solve for x
    x = 4,452,792.48/3,137.50
  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.