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Finding the Fourth Proportional to 5,313.38, 7,971.80 and 2,539.68

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Solution

The fourth proportional to 5,313.38, 7,971.80 and 2,539.68 is: 3,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.38 : 7,971.80 = 2,539.68 : x
  2. Step 2: Convert to fraction form
    5,313.38/7,971.80 = 2,539.68/x
  3. Step 3: Cross multiply
    5,313.38x = 7,971.80 × 2,539.68
  4. Step 4: Simplify right side
    5,313.38x = 20,245,808.33
  5. Step 5: Solve for x
    x = 20,245,808.33/5,313.38
  6. Step 6: Final answer
    x = 3,810.35

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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.