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Finding the Fourth Proportional to 13,833.98, 20,752.26 and 5,511.98

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Solution

The fourth proportional to 13,833.98, 20,752.26 and 5,511.98 is: 8,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.98 : 20,752.26 = 5,511.98 : x
  2. Step 2: Convert to fraction form
    13,833.98/20,752.26 = 5,511.98/x
  3. Step 3: Cross multiply
    13,833.98x = 20,752.26 × 5,511.98
  4. Step 4: Simplify right side
    13,833.98x = 114,386,042.07
  5. Step 5: Solve for x
    x = 114,386,042.07/13,833.98
  6. Step 6: Final answer
    x = 8,268.48

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1.5x scale

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.