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Finding the Fourth Proportional to 8,218.74, 12,328.74 and 2,375.40

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Solution

The fourth proportional to 8,218.74, 12,328.74 and 2,375.40 is: 3,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.74 : 12,328.74 = 2,375.40 : x
  2. Step 2: Convert to fraction form
    8,218.74/12,328.74 = 2,375.40/x
  3. Step 3: Cross multiply
    8,218.74x = 12,328.74 × 2,375.40
  4. Step 4: Simplify right side
    8,218.74x = 29,285,689.00
  5. Step 5: Solve for x
    x = 29,285,689.00/8,218.74
  6. Step 6: Final answer
    x = 3,563.28

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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.