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Finding the Fourth Proportional to 5,814.63, 8,720.73 and 1,918.13

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Solution

The fourth proportional to 5,814.63, 8,720.73 and 1,918.13 is: 2,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.63 : 8,720.73 = 1,918.13 : x
  2. Step 2: Convert to fraction form
    5,814.63/8,720.73 = 1,918.13/x
  3. Step 3: Cross multiply
    5,814.63x = 8,720.73 × 1,918.13
  4. Step 4: Simplify right side
    5,814.63x = 16,727,450.23
  5. Step 5: Solve for x
    x = 16,727,450.23/5,814.63
  6. Step 6: Final answer
    x = 2,876.79

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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.