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Finding the Fourth Proportional to 5,985.39, 8,978.14 and 1,825.34

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Solution

The fourth proportional to 5,985.39, 8,978.14 and 1,825.34 is: 2,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.39 : 8,978.14 = 1,825.34 : x
  2. Step 2: Convert to fraction form
    5,985.39/8,978.14 = 1,825.34/x
  3. Step 3: Cross multiply
    5,985.39x = 8,978.14 × 1,825.34
  4. Step 4: Simplify right side
    5,985.39x = 16,388,115.46
  5. Step 5: Solve for x
    x = 16,388,115.46/5,985.39
  6. Step 6: Final answer
    x = 2,738.02

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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.