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Finding the Fourth Proportional to 5,978.13, 8,242.23 and 4,087

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Solution

The fourth proportional to 5,978.13, 8,242.23 and 4,087 is: 5,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.13 : 8,242.23 = 4,087 : x
  2. Step 2: Convert to fraction form
    5,978.13/8,242.23 = 4,087/x
  3. Step 3: Cross multiply
    5,978.13x = 8,242.23 × 4,087
  4. Step 4: Simplify right side
    5,978.13x = 33,685,994.01
  5. Step 5: Solve for x
    x = 33,685,994.01/5,978.13
  6. Step 6: Final answer
    x = 5,634.87

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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.