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Finding the Fourth Proportional to 8,490, 12,738.24 and 3,296.28

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Solution

The fourth proportional to 8,490, 12,738.24 and 3,296.28 is: 4,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490 : 12,738.24 = 3,296.28 : x
  2. Step 2: Convert to fraction form
    8,490/12,738.24 = 3,296.28/x
  3. Step 3: Cross multiply
    8,490x = 12,738.24 × 3,296.28
  4. Step 4: Simplify right side
    8,490x = 41,988,805.75
  5. Step 5: Solve for x
    x = 41,988,805.75/8,490
  6. Step 6: Final answer
    x = 4,945.68

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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.