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Finding the Fourth Proportional to 2,609.36, 3,915.26 and 1,221

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Solution

The fourth proportional to 2,609.36, 3,915.26 and 1,221 is: 1,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.36 : 3,915.26 = 1,221 : x
  2. Step 2: Convert to fraction form
    2,609.36/3,915.26 = 1,221/x
  3. Step 3: Cross multiply
    2,609.36x = 3,915.26 × 1,221
  4. Step 4: Simplify right side
    2,609.36x = 4,780,532.46
  5. Step 5: Solve for x
    x = 4,780,532.46/2,609.36
  6. Step 6: Final answer
    x = 1,832.07

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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.