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Finding the Fourth Proportional to 13,454.52, 20,188.80 and 9,080.52

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Solution

The fourth proportional to 13,454.52, 20,188.80 and 9,080.52 is: 13,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.52 : 20,188.80 = 9,080.52 : x
  2. Step 2: Convert to fraction form
    13,454.52/20,188.80 = 9,080.52/x
  3. Step 3: Cross multiply
    13,454.52x = 20,188.80 × 9,080.52
  4. Step 4: Simplify right side
    13,454.52x = 183,324,802.18
  5. Step 5: Solve for x
    x = 183,324,802.18/13,454.52
  6. Step 6: Final answer
    x = 13,625.52

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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.