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Finding the Fourth Proportional to 2,875.75, 3,969.09 and 1,879.31

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Solution

The fourth proportional to 2,875.75, 3,969.09 and 1,879.31 is: 2,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.75 : 3,969.09 = 1,879.31 : x
  2. Step 2: Convert to fraction form
    2,875.75/3,969.09 = 1,879.31/x
  3. Step 3: Cross multiply
    2,875.75x = 3,969.09 × 1,879.31
  4. Step 4: Simplify right side
    2,875.75x = 7,459,150.53
  5. Step 5: Solve for x
    x = 7,459,150.53/2,875.75
  6. Step 6: Final answer
    x = 2,593.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.