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Finding the Fourth Proportional to 5,879.86, 8,109.93 and 3,892.12

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Solution

The fourth proportional to 5,879.86, 8,109.93 and 3,892.12 is: 5,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.86 : 8,109.93 = 3,892.12 : x
  2. Step 2: Convert to fraction form
    5,879.86/8,109.93 = 3,892.12/x
  3. Step 3: Cross multiply
    5,879.86x = 8,109.93 × 3,892.12
  4. Step 4: Simplify right side
    5,879.86x = 31,564,820.75
  5. Step 5: Solve for x
    x = 31,564,820.75/5,879.86
  6. Step 6: Final answer
    x = 5,368.29

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1.5x scale

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.