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Finding the Fourth Proportional to 5,881.75, 8,109.61 and 4,618.87

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Solution

The fourth proportional to 5,881.75, 8,109.61 and 4,618.87 is: 6,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.75 : 8,109.61 = 4,618.87 : x
  2. Step 2: Convert to fraction form
    5,881.75/8,109.61 = 4,618.87/x
  3. Step 3: Cross multiply
    5,881.75x = 8,109.61 × 4,618.87
  4. Step 4: Simplify right side
    5,881.75x = 37,457,234.34
  5. Step 5: Solve for x
    x = 37,457,234.34/5,881.75
  6. Step 6: Final answer
    x = 6,368.38

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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.