Home / 1,752.37-2,627.24-827.38

Finding the Fourth Proportional to 1,752.37, 2,627.24 and 827.38

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Solution

The fourth proportional to 1,752.37, 2,627.24 and 827.38 is: 1,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.37 : 2,627.24 = 827.38 : x
  2. Step 2: Convert to fraction form
    1,752.37/2,627.24 = 827.38/x
  3. Step 3: Cross multiply
    1,752.37x = 2,627.24 × 827.38
  4. Step 4: Simplify right side
    1,752.37x = 2,173,724.98
  5. Step 5: Solve for x
    x = 2,173,724.98/1,752.37
  6. Step 6: Final answer
    x = 1,240.45

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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.