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Finding the Fourth Proportional to 5,814, 8,019.90 and 3,456

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Solution

The fourth proportional to 5,814, 8,019.90 and 3,456 is: 4,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814 : 8,019.90 = 3,456 : x
  2. Step 2: Convert to fraction form
    5,814/8,019.90 = 3,456/x
  3. Step 3: Cross multiply
    5,814x = 8,019.90 × 3,456
  4. Step 4: Simplify right side
    5,814x = 27,716,774.40
  5. Step 5: Solve for x
    x = 27,716,774.40/5,814
  6. Step 6: Final answer
    x = 4,767.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.