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Finding the Fourth Proportional to 17,978.70, 26,971.02 and 8,117.76

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Solution

The fourth proportional to 17,978.70, 26,971.02 and 8,117.76 is: 12,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.70 : 26,971.02 = 8,117.76 : x
  2. Step 2: Convert to fraction form
    17,978.70/26,971.02 = 8,117.76/x
  3. Step 3: Cross multiply
    17,978.70x = 26,971.02 × 8,117.76
  4. Step 4: Simplify right side
    17,978.70x = 218,944,267.32
  5. Step 5: Solve for x
    x = 218,944,267.32/17,978.70
  6. Step 6: Final answer
    x = 12,177.98

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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.