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Finding the Fourth Proportional to 26,978.40, 40,455.45 and 12,179.70

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Solution

The fourth proportional to 26,978.40, 40,455.45 and 12,179.70 is: 18,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.40 : 40,455.45 = 12,179.70 : x
  2. Step 2: Convert to fraction form
    26,978.40/40,455.45 = 12,179.70/x
  3. Step 3: Cross multiply
    26,978.40x = 40,455.45 × 12,179.70
  4. Step 4: Simplify right side
    26,978.40x = 492,735,244.37
  5. Step 5: Solve for x
    x = 492,735,244.37/26,978.40
  6. Step 6: Final answer
    x = 18,264.06

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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.