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Finding the Fourth Proportional to 2,957.43, 4,435.04 and 982.70

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Solution

The fourth proportional to 2,957.43, 4,435.04 and 982.70 is: 1,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.43 : 4,435.04 = 982.70 : x
  2. Step 2: Convert to fraction form
    2,957.43/4,435.04 = 982.70/x
  3. Step 3: Cross multiply
    2,957.43x = 4,435.04 × 982.70
  4. Step 4: Simplify right side
    2,957.43x = 4,358,286.72
  5. Step 5: Solve for x
    x = 4,358,286.72/2,957.43
  6. Step 6: Final answer
    x = 1,473.67

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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.