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Finding the Fourth Proportional to 3,782.48, 5,220 and 2,103.90

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Solution

The fourth proportional to 3,782.48, 5,220 and 2,103.90 is: 2,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.48 : 5,220 = 2,103.90 : x
  2. Step 2: Convert to fraction form
    3,782.48/5,220 = 2,103.90/x
  3. Step 3: Cross multiply
    3,782.48x = 5,220 × 2,103.90
  4. Step 4: Simplify right side
    3,782.48x = 10,982,358
  5. Step 5: Solve for x
    x = 10,982,358/3,782.48
  6. Step 6: Final answer
    x = 2,903.48

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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.