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Finding the Fourth Proportional to 3,959.74, 5,462.40 and 3,214.54

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Solution

The fourth proportional to 3,959.74, 5,462.40 and 3,214.54 is: 4,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.74 : 5,462.40 = 3,214.54 : x
  2. Step 2: Convert to fraction form
    3,959.74/5,462.40 = 3,214.54/x
  3. Step 3: Cross multiply
    3,959.74x = 5,462.40 × 3,214.54
  4. Step 4: Simplify right side
    3,959.74x = 17,559,103.30
  5. Step 5: Solve for x
    x = 17,559,103.30/3,959.74
  6. Step 6: Final answer
    x = 4,434.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.