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Finding the Fourth Proportional to 26,955.20, 40,443 and 9,426.80

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Solution

The fourth proportional to 26,955.20, 40,443 and 9,426.80 is: 14,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,955.20 : 40,443 = 9,426.80 : x
  2. Step 2: Convert to fraction form
    26,955.20/40,443 = 9,426.80/x
  3. Step 3: Cross multiply
    26,955.20x = 40,443 × 9,426.80
  4. Step 4: Simplify right side
    26,955.20x = 381,248,072.40
  5. Step 5: Solve for x
    x = 381,248,072.40/26,955.20
  6. Step 6: Final answer
    x = 14,143.77

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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.