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Finding the Fourth Proportional to 3,910.56, 5,866.20 and 1,314.24

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Solution

The fourth proportional to 3,910.56, 5,866.20 and 1,314.24 is: 1,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.56 : 5,866.20 = 1,314.24 : x
  2. Step 2: Convert to fraction form
    3,910.56/5,866.20 = 1,314.24/x
  3. Step 3: Cross multiply
    3,910.56x = 5,866.20 × 1,314.24
  4. Step 4: Simplify right side
    3,910.56x = 7,709,594.69
  5. Step 5: Solve for x
    x = 7,709,594.69/3,910.56
  6. Step 6: Final answer
    x = 1,971.48

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1.5x scale

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.