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Finding the Fourth Proportional to 3,971.77, 5,948.25 and 3,448.92

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Solution

The fourth proportional to 3,971.77, 5,948.25 and 3,448.92 is: 5,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.77 : 5,948.25 = 3,448.92 : x
  2. Step 2: Convert to fraction form
    3,971.77/5,948.25 = 3,448.92/x
  3. Step 3: Cross multiply
    3,971.77x = 5,948.25 × 3,448.92
  4. Step 4: Simplify right side
    3,971.77x = 20,515,038.39
  5. Step 5: Solve for x
    x = 20,515,038.39/3,971.77
  6. Step 6: Final answer
    x = 5,165.22

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1.5x scale

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.