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Finding the Fourth Proportional to 8,208.56, 12,315 and 2,365.52

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Solution

The fourth proportional to 8,208.56, 12,315 and 2,365.52 is: 3,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.56 : 12,315 = 2,365.52 : x
  2. Step 2: Convert to fraction form
    8,208.56/12,315 = 2,365.52/x
  3. Step 3: Cross multiply
    8,208.56x = 12,315 × 2,365.52
  4. Step 4: Simplify right side
    8,208.56x = 29,131,378.80
  5. Step 5: Solve for x
    x = 29,131,378.80/8,208.56
  6. Step 6: Final answer
    x = 3,548.90

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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.