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Finding the Fourth Proportional to 13,107.65, 18,080.28 and 7,798.50

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Solution

The fourth proportional to 13,107.65, 18,080.28 and 7,798.50 is: 10,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.65 : 18,080.28 = 7,798.50 : x
  2. Step 2: Convert to fraction form
    13,107.65/18,080.28 = 7,798.50/x
  3. Step 3: Cross multiply
    13,107.65x = 18,080.28 × 7,798.50
  4. Step 4: Simplify right side
    13,107.65x = 140,999,063.58
  5. Step 5: Solve for x
    x = 140,999,063.58/13,107.65
  6. Step 6: Final answer
    x = 10,757.01

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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.