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Finding the Fourth Proportional to 5,989.78, 8,978.55 and 2,090.98

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Solution

The fourth proportional to 5,989.78, 8,978.55 and 2,090.98 is: 3,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.78 : 8,978.55 = 2,090.98 : x
  2. Step 2: Convert to fraction form
    5,989.78/8,978.55 = 2,090.98/x
  3. Step 3: Cross multiply
    5,989.78x = 8,978.55 × 2,090.98
  4. Step 4: Simplify right side
    5,989.78x = 18,773,968.48
  5. Step 5: Solve for x
    x = 18,773,968.48/5,989.78
  6. Step 6: Final answer
    x = 3,134.33

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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.