Home / 5,188-7,785.24-2,110

Finding the Fourth Proportional to 5,188, 7,785.24 and 2,110

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Solution

The fourth proportional to 5,188, 7,785.24 and 2,110 is: 3,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188 : 7,785.24 = 2,110 : x
  2. Step 2: Convert to fraction form
    5,188/7,785.24 = 2,110/x
  3. Step 3: Cross multiply
    5,188x = 7,785.24 × 2,110
  4. Step 4: Simplify right side
    5,188x = 16,426,856.40
  5. Step 5: Solve for x
    x = 16,426,856.40/5,188
  6. Step 6: Final answer
    x = 3,166.32

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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.