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Finding the Fourth Proportional to 3,137.46, 4,706.80 and 946.08

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Solution

The fourth proportional to 3,137.46, 4,706.80 and 946.08 is: 1,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.46 : 4,706.80 = 946.08 : x
  2. Step 2: Convert to fraction form
    3,137.46/4,706.80 = 946.08/x
  3. Step 3: Cross multiply
    3,137.46x = 4,706.80 × 946.08
  4. Step 4: Simplify right side
    3,137.46x = 4,453,009.34
  5. Step 5: Solve for x
    x = 4,453,009.34/3,137.46
  6. Step 6: Final answer
    x = 1,419.30

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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.