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Finding the Fourth Proportional to 3,243.36, 4,860.42 and 2,509.50

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Solution

The fourth proportional to 3,243.36, 4,860.42 and 2,509.50 is: 3,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.36 : 4,860.42 = 2,509.50 : x
  2. Step 2: Convert to fraction form
    3,243.36/4,860.42 = 2,509.50/x
  3. Step 3: Cross multiply
    3,243.36x = 4,860.42 × 2,509.50
  4. Step 4: Simplify right side
    3,243.36x = 12,197,223.99
  5. Step 5: Solve for x
    x = 12,197,223.99/3,243.36
  6. Step 6: Final answer
    x = 3,760.68

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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.