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Finding the Fourth Proportional to 13,555, 20,283.90 and 8,011.36

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Solution

The fourth proportional to 13,555, 20,283.90 and 8,011.36 is: 11,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,555 : 20,283.90 = 8,011.36 : x
  2. Step 2: Convert to fraction form
    13,555/20,283.90 = 8,011.36/x
  3. Step 3: Cross multiply
    13,555x = 20,283.90 × 8,011.36
  4. Step 4: Simplify right side
    13,555x = 162,501,625.10
  5. Step 5: Solve for x
    x = 162,501,625.10/13,555
  6. Step 6: Final answer
    x = 11,988.32

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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.