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Finding the Fourth Proportional to 5,763.68, 8,642.42 and 1,814.19

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Solution

The fourth proportional to 5,763.68, 8,642.42 and 1,814.19 is: 2,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.68 : 8,642.42 = 1,814.19 : x
  2. Step 2: Convert to fraction form
    5,763.68/8,642.42 = 1,814.19/x
  3. Step 3: Cross multiply
    5,763.68x = 8,642.42 × 1,814.19
  4. Step 4: Simplify right side
    5,763.68x = 15,678,982.87
  5. Step 5: Solve for x
    x = 15,678,982.87/5,763.68
  6. Step 6: Final answer
    x = 2,720.31

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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.