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Finding the Fourth Proportional to 5,666.88, 7,820.38 and 3,149.22

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Solution

The fourth proportional to 5,666.88, 7,820.38 and 3,149.22 is: 4,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.88 : 7,820.38 = 3,149.22 : x
  2. Step 2: Convert to fraction form
    5,666.88/7,820.38 = 3,149.22/x
  3. Step 3: Cross multiply
    5,666.88x = 7,820.38 × 3,149.22
  4. Step 4: Simplify right side
    5,666.88x = 24,628,097.10
  5. Step 5: Solve for x
    x = 24,628,097.10/5,666.88
  6. Step 6: Final answer
    x = 4,345.97

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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.