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Finding the Fourth Proportional to 5,702, 7,867.80 and 3,810.54

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Solution

The fourth proportional to 5,702, 7,867.80 and 3,810.54 is: 5,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702 : 7,867.80 = 3,810.54 : x
  2. Step 2: Convert to fraction form
    5,702/7,867.80 = 3,810.54/x
  3. Step 3: Cross multiply
    5,702x = 7,867.80 × 3,810.54
  4. Step 4: Simplify right side
    5,702x = 29,980,566.61
  5. Step 5: Solve for x
    x = 29,980,566.61/5,702
  6. Step 6: Final answer
    x = 5,257.90

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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.