Home / 2,152.12-3,227.50-835.78

Finding the Fourth Proportional to 2,152.12, 3,227.50 and 835.78

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Solution

The fourth proportional to 2,152.12, 3,227.50 and 835.78 is: 1,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.12 : 3,227.50 = 835.78 : x
  2. Step 2: Convert to fraction form
    2,152.12/3,227.50 = 835.78/x
  3. Step 3: Cross multiply
    2,152.12x = 3,227.50 × 835.78
  4. Step 4: Simplify right side
    2,152.12x = 2,697,478.81
  5. Step 5: Solve for x
    x = 2,697,478.81/2,152.12
  6. Step 6: Final answer
    x = 1,253.41

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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.