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Finding the Fourth Proportional to 2,959, 4,438.50 and 1,110.54

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Solution

The fourth proportional to 2,959, 4,438.50 and 1,110.54 is: 1,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959 : 4,438.50 = 1,110.54 : x
  2. Step 2: Convert to fraction form
    2,959/4,438.50 = 1,110.54/x
  3. Step 3: Cross multiply
    2,959x = 4,438.50 × 1,110.54
  4. Step 4: Simplify right side
    2,959x = 4,929,131.79
  5. Step 5: Solve for x
    x = 4,929,131.79/2,959
  6. Step 6: Final answer
    x = 1,665.81

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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.