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Finding the Fourth Proportional to 10,800, 14,910.48 and 7,080.48

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Solution

The fourth proportional to 10,800, 14,910.48 and 7,080.48 is: 9,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800 : 14,910.48 = 7,080.48 : x
  2. Step 2: Convert to fraction form
    10,800/14,910.48 = 7,080.48/x
  3. Step 3: Cross multiply
    10,800x = 14,910.48 × 7,080.48
  4. Step 4: Simplify right side
    10,800x = 105,573,355.43
  5. Step 5: Solve for x
    x = 105,573,355.43/10,800
  6. Step 6: Final answer
    x = 9,775.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.