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Finding the Fourth Proportional to 3,780.57, 5,669.10 and 1,314.66

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Solution

The fourth proportional to 3,780.57, 5,669.10 and 1,314.66 is: 1,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.57 : 5,669.10 = 1,314.66 : x
  2. Step 2: Convert to fraction form
    3,780.57/5,669.10 = 1,314.66/x
  3. Step 3: Cross multiply
    3,780.57x = 5,669.10 × 1,314.66
  4. Step 4: Simplify right side
    3,780.57x = 7,452,939.01
  5. Step 5: Solve for x
    x = 7,452,939.01/3,780.57
  6. Step 6: Final answer
    x = 1,971.38

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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.