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Finding the Fourth Proportional to 3,137.90, 4,706.91 and 946.58

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Solution

The fourth proportional to 3,137.90, 4,706.91 and 946.58 is: 1,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.90 : 4,706.91 = 946.58 : x
  2. Step 2: Convert to fraction form
    3,137.90/4,706.91 = 946.58/x
  3. Step 3: Cross multiply
    3,137.90x = 4,706.91 × 946.58
  4. Step 4: Simplify right side
    3,137.90x = 4,455,443.33
  5. Step 5: Solve for x
    x = 4,455,443.33/3,137.90
  6. Step 6: Final answer
    x = 1,419.88

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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.