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Finding the Fourth Proportional to 11,312.80, 16,954.80 and 5,456.80

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Solution

The fourth proportional to 11,312.80, 16,954.80 and 5,456.80 is: 8,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.80 : 16,954.80 = 5,456.80 : x
  2. Step 2: Convert to fraction form
    11,312.80/16,954.80 = 5,456.80/x
  3. Step 3: Cross multiply
    11,312.80x = 16,954.80 × 5,456.80
  4. Step 4: Simplify right side
    11,312.80x = 92,518,952.64
  5. Step 5: Solve for x
    x = 92,518,952.64/11,312.80
  6. Step 6: Final answer
    x = 8,178.25

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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.