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Finding the Fourth Proportional to 5,678.24, 7,837.24 and 3,161.26

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Solution

The fourth proportional to 5,678.24, 7,837.24 and 3,161.26 is: 4,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.24 : 7,837.24 = 3,161.26 : x
  2. Step 2: Convert to fraction form
    5,678.24/7,837.24 = 3,161.26/x
  3. Step 3: Cross multiply
    5,678.24x = 7,837.24 × 3,161.26
  4. Step 4: Simplify right side
    5,678.24x = 24,775,553.32
  5. Step 5: Solve for x
    x = 24,775,553.32/5,678.24
  6. Step 6: Final answer
    x = 4,363.25

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1.5x scale

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.