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Finding the Fourth Proportional to 3,016.86, 4,525.44 and 938.28

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Solution

The fourth proportional to 3,016.86, 4,525.44 and 938.28 is: 1,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.86 : 4,525.44 = 938.28 : x
  2. Step 2: Convert to fraction form
    3,016.86/4,525.44 = 938.28/x
  3. Step 3: Cross multiply
    3,016.86x = 4,525.44 × 938.28
  4. Step 4: Simplify right side
    3,016.86x = 4,246,129.84
  5. Step 5: Solve for x
    x = 4,246,129.84/3,016.86
  6. Step 6: Final answer
    x = 1,407.47

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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.