Home / 4,132.50-6,199.65-1,824

Finding the Fourth Proportional to 4,132.50, 6,199.65 and 1,824

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Solution

The fourth proportional to 4,132.50, 6,199.65 and 1,824 is: 2,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.50 : 6,199.65 = 1,824 : x
  2. Step 2: Convert to fraction form
    4,132.50/6,199.65 = 1,824/x
  3. Step 3: Cross multiply
    4,132.50x = 6,199.65 × 1,824
  4. Step 4: Simplify right side
    4,132.50x = 11,308,161.60
  5. Step 5: Solve for x
    x = 11,308,161.60/4,132.50
  6. Step 6: Final answer
    x = 2,736.40

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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.