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Finding the Fourth Proportional to 8,192.50, 12,288.80 and 2,036.50

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Solution

The fourth proportional to 8,192.50, 12,288.80 and 2,036.50 is: 3,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.50 : 12,288.80 = 2,036.50 : x
  2. Step 2: Convert to fraction form
    8,192.50/12,288.80 = 2,036.50/x
  3. Step 3: Cross multiply
    8,192.50x = 12,288.80 × 2,036.50
  4. Step 4: Simplify right side
    8,192.50x = 25,026,131.02
  5. Step 5: Solve for x
    x = 25,026,131.02/8,192.50
  6. Step 6: Final answer
    x = 3,054.76

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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.