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Finding the Fourth Proportional to 5,978.99, 8,969.92 and 2,858.11

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Solution

The fourth proportional to 5,978.99, 8,969.92 and 2,858.11 is: 4,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.99 : 8,969.92 = 2,858.11 : x
  2. Step 2: Convert to fraction form
    5,978.99/8,969.92 = 2,858.11/x
  3. Step 3: Cross multiply
    5,978.99x = 8,969.92 × 2,858.11
  4. Step 4: Simplify right side
    5,978.99x = 25,636,988.48
  5. Step 5: Solve for x
    x = 25,636,988.48/5,978.99
  6. Step 6: Final answer
    x = 4,287.84

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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.