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Finding the Fourth Proportional to 3,780, 5,670.54 and 1,314.36

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Solution

The fourth proportional to 3,780, 5,670.54 and 1,314.36 is: 1,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,670.54 = 1,314.36 : x
  2. Step 2: Convert to fraction form
    3,780/5,670.54 = 1,314.36/x
  3. Step 3: Cross multiply
    3,780x = 5,670.54 × 1,314.36
  4. Step 4: Simplify right side
    3,780x = 7,453,130.95
  5. Step 5: Solve for x
    x = 7,453,130.95/3,780
  6. Step 6: Final answer
    x = 1,971.73

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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.