Home / 4,131.32-6,196.64-1,534

Finding the Fourth Proportional to 4,131.32, 6,196.64 and 1,534

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Solution

The fourth proportional to 4,131.32, 6,196.64 and 1,534 is: 2,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.32 : 6,196.64 = 1,534 : x
  2. Step 2: Convert to fraction form
    4,131.32/6,196.64 = 1,534/x
  3. Step 3: Cross multiply
    4,131.32x = 6,196.64 × 1,534
  4. Step 4: Simplify right side
    4,131.32x = 9,505,645.76
  5. Step 5: Solve for x
    x = 9,505,645.76/4,131.32
  6. Step 6: Final answer
    x = 2,300.87

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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.