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Finding the Fourth Proportional to 17,986.30, 26,978.54 and 6,298.61

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Solution

The fourth proportional to 17,986.30, 26,978.54 and 6,298.61 is: 9,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986.30 : 26,978.54 = 6,298.61 : x
  2. Step 2: Convert to fraction form
    17,986.30/26,978.54 = 6,298.61/x
  3. Step 3: Cross multiply
    17,986.30x = 26,978.54 × 6,298.61
  4. Step 4: Simplify right side
    17,986.30x = 169,927,135.44
  5. Step 5: Solve for x
    x = 169,927,135.44/17,986.30
  6. Step 6: Final answer
    x = 9,447.59

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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.