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Finding the Fourth Proportional to 26,956.80, 40,435.20 and 21,319.20

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Solution

The fourth proportional to 26,956.80, 40,435.20 and 21,319.20 is: 31,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,956.80 : 40,435.20 = 21,319.20 : x
  2. Step 2: Convert to fraction form
    26,956.80/40,435.20 = 21,319.20/x
  3. Step 3: Cross multiply
    26,956.80x = 40,435.20 × 21,319.20
  4. Step 4: Simplify right side
    26,956.80x = 862,046,115.84
  5. Step 5: Solve for x
    x = 862,046,115.84/26,956.80
  6. Step 6: Final answer
    x = 31,978.80

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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.