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Finding the Fourth Proportional to 5,985.73, 8,978.61 and 2,089.22

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Solution

The fourth proportional to 5,985.73, 8,978.61 and 2,089.22 is: 3,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.73 : 8,978.61 = 2,089.22 : x
  2. Step 2: Convert to fraction form
    5,985.73/8,978.61 = 2,089.22/x
  3. Step 3: Cross multiply
    5,985.73x = 8,978.61 × 2,089.22
  4. Step 4: Simplify right side
    5,985.73x = 18,758,291.58
  5. Step 5: Solve for x
    x = 18,758,291.58/5,985.73
  6. Step 6: Final answer
    x = 3,133.84

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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.