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Finding the Fourth Proportional to 10,812.62, 14,913.74 and 7,028.80

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Solution

The fourth proportional to 10,812.62, 14,913.74 and 7,028.80 is: 9,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.62 : 14,913.74 = 7,028.80 : x
  2. Step 2: Convert to fraction form
    10,812.62/14,913.74 = 7,028.80/x
  3. Step 3: Cross multiply
    10,812.62x = 14,913.74 × 7,028.80
  4. Step 4: Simplify right side
    10,812.62x = 104,825,676.00
  5. Step 5: Solve for x
    x = 104,825,676.00/10,812.62
  6. Step 6: Final answer
    x = 9,694.75

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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.