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Finding the Fourth Proportional to 3,180, 4,388.44 and 1,782.76

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Solution

The fourth proportional to 3,180, 4,388.44 and 1,782.76 is: 2,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180 : 4,388.44 = 1,782.76 : x
  2. Step 2: Convert to fraction form
    3,180/4,388.44 = 1,782.76/x
  3. Step 3: Cross multiply
    3,180x = 4,388.44 × 1,782.76
  4. Step 4: Simplify right side
    3,180x = 7,823,535.29
  5. Step 5: Solve for x
    x = 7,823,535.29/3,180
  6. Step 6: Final answer
    x = 2,460.23

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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.