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Finding the Fourth Proportional to 3,898.40, 5,840.40 and 3,639.20

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Solution

The fourth proportional to 3,898.40, 5,840.40 and 3,639.20 is: 5,452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.40 : 5,840.40 = 3,639.20 : x
  2. Step 2: Convert to fraction form
    3,898.40/5,840.40 = 3,639.20/x
  3. Step 3: Cross multiply
    3,898.40x = 5,840.40 × 3,639.20
  4. Step 4: Simplify right side
    3,898.40x = 21,254,383.68
  5. Step 5: Solve for x
    x = 21,254,383.68/3,898.40
  6. Step 6: Final answer
    x = 5,452.08

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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.