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Finding the Fourth Proportional to 5,313.96, 7,971.48 and 1,418.64

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Solution

The fourth proportional to 5,313.96, 7,971.48 and 1,418.64 is: 2,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.96 : 7,971.48 = 1,418.64 : x
  2. Step 2: Convert to fraction form
    5,313.96/7,971.48 = 1,418.64/x
  3. Step 3: Cross multiply
    5,313.96x = 7,971.48 × 1,418.64
  4. Step 4: Simplify right side
    5,313.96x = 11,308,660.39
  5. Step 5: Solve for x
    x = 11,308,660.39/5,313.96
  6. Step 6: Final answer
    x = 2,128.10

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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.