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Finding the Fourth Proportional to 3,108, 4,289.28 and 1,782.24

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Solution

The fourth proportional to 3,108, 4,289.28 and 1,782.24 is: 2,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108 : 4,289.28 = 1,782.24 : x
  2. Step 2: Convert to fraction form
    3,108/4,289.28 = 1,782.24/x
  3. Step 3: Cross multiply
    3,108x = 4,289.28 × 1,782.24
  4. Step 4: Simplify right side
    3,108x = 7,644,526.39
  5. Step 5: Solve for x
    x = 7,644,526.39/3,108
  6. Step 6: Final answer
    x = 2,459.63

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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.