Home / 2,131.20-3,194.88-976.32

Finding the Fourth Proportional to 2,131.20, 3,194.88 and 976.32

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Solution

The fourth proportional to 2,131.20, 3,194.88 and 976.32 is: 1,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.20 : 3,194.88 = 976.32 : x
  2. Step 2: Convert to fraction form
    2,131.20/3,194.88 = 976.32/x
  3. Step 3: Cross multiply
    2,131.20x = 3,194.88 × 976.32
  4. Step 4: Simplify right side
    2,131.20x = 3,119,225.24
  5. Step 5: Solve for x
    x = 3,119,225.24/2,131.20
  6. Step 6: Final answer
    x = 1,463.60

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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.