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Finding the Fourth Proportional to 2,120.60, 3,180.86 and 581.60

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Solution

The fourth proportional to 2,120.60, 3,180.86 and 581.60 is: 872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.60 : 3,180.86 = 581.60 : x
  2. Step 2: Convert to fraction form
    2,120.60/3,180.86 = 581.60/x
  3. Step 3: Cross multiply
    2,120.60x = 3,180.86 × 581.60
  4. Step 4: Simplify right side
    2,120.60x = 1,849,969.36
  5. Step 5: Solve for x
    x = 1,849,969.36/2,120.60
  6. Step 6: Final answer
    x = 872.38

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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.