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Finding the Fourth Proportional to 17,978.06, 26,970.93 and 6,291.66

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Solution

The fourth proportional to 17,978.06, 26,970.93 and 6,291.66 is: 9,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.06 : 26,970.93 = 6,291.66 : x
  2. Step 2: Convert to fraction form
    17,978.06/26,970.93 = 6,291.66/x
  3. Step 3: Cross multiply
    17,978.06x = 26,970.93 × 6,291.66
  4. Step 4: Simplify right side
    17,978.06x = 169,691,921.44
  5. Step 5: Solve for x
    x = 169,691,921.44/17,978.06
  6. Step 6: Final answer
    x = 9,438.83

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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.