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Finding the Fourth Proportional to 2,958.69, 4,438.08 and 1,011

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Solution

The fourth proportional to 2,958.69, 4,438.08 and 1,011 is: 1,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.69 : 4,438.08 = 1,011 : x
  2. Step 2: Convert to fraction form
    2,958.69/4,438.08 = 1,011/x
  3. Step 3: Cross multiply
    2,958.69x = 4,438.08 × 1,011
  4. Step 4: Simplify right side
    2,958.69x = 4,486,898.88
  5. Step 5: Solve for x
    x = 4,486,898.88/2,958.69
  6. Step 6: Final answer
    x = 1,516.52

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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.