Home / 5,820-8,733.84-2,742.24

Finding the Fourth Proportional to 5,820, 8,733.84 and 2,742.24

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Solution

The fourth proportional to 5,820, 8,733.84 and 2,742.24 is: 4,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820 : 8,733.84 = 2,742.24 : x
  2. Step 2: Convert to fraction form
    5,820/8,733.84 = 2,742.24/x
  3. Step 3: Cross multiply
    5,820x = 8,733.84 × 2,742.24
  4. Step 4: Simplify right side
    5,820x = 23,950,285.40
  5. Step 5: Solve for x
    x = 23,950,285.40/5,820
  6. Step 6: Final answer
    x = 4,115.17

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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.