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Finding the Fourth Proportional to 5,985.09, 8,978.24 and 2,290.42

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Solution

The fourth proportional to 5,985.09, 8,978.24 and 2,290.42 is: 3,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.09 : 8,978.24 = 2,290.42 : x
  2. Step 2: Convert to fraction form
    5,985.09/8,978.24 = 2,290.42/x
  3. Step 3: Cross multiply
    5,985.09x = 8,978.24 × 2,290.42
  4. Step 4: Simplify right side
    5,985.09x = 20,563,957.41
  5. Step 5: Solve for x
    x = 20,563,957.41/5,985.09
  6. Step 6: Final answer
    x = 3,435.86

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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.