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Finding the Fourth Proportional to 3,609.84, 5,412.57 and 1,415.94

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Solution

The fourth proportional to 3,609.84, 5,412.57 and 1,415.94 is: 2,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.84 : 5,412.57 = 1,415.94 : x
  2. Step 2: Convert to fraction form
    3,609.84/5,412.57 = 1,415.94/x
  3. Step 3: Cross multiply
    3,609.84x = 5,412.57 × 1,415.94
  4. Step 4: Simplify right side
    3,609.84x = 7,663,874.37
  5. Step 5: Solve for x
    x = 7,663,874.37/3,609.84
  6. Step 6: Final answer
    x = 2,123.05

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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.