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Finding the Fourth Proportional to 3,780, 5,664.53 and 2,133.07

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Solution

The fourth proportional to 3,780, 5,664.53 and 2,133.07 is: 3,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,664.53 = 2,133.07 : x
  2. Step 2: Convert to fraction form
    3,780/5,664.53 = 2,133.07/x
  3. Step 3: Cross multiply
    3,780x = 5,664.53 × 2,133.07
  4. Step 4: Simplify right side
    3,780x = 12,082,810.68
  5. Step 5: Solve for x
    x = 12,082,810.68/3,780
  6. Step 6: Final answer
    x = 3,196.51

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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.