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Finding the Fourth Proportional to 11,214.80, 16,797.88 and 8,130

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Solution

The fourth proportional to 11,214.80, 16,797.88 and 8,130 is: 12,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.80 : 16,797.88 = 8,130 : x
  2. Step 2: Convert to fraction form
    11,214.80/16,797.88 = 8,130/x
  3. Step 3: Cross multiply
    11,214.80x = 16,797.88 × 8,130
  4. Step 4: Simplify right side
    11,214.80x = 136,566,764.40
  5. Step 5: Solve for x
    x = 136,566,764.40/11,214.80
  6. Step 6: Final answer
    x = 12,177.37

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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.