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Finding the Fourth Proportional to 7,899.94, 11,815.05 and 7,028.55

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Solution

The fourth proportional to 7,899.94, 11,815.05 and 7,028.55 is: 10,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.94 : 11,815.05 = 7,028.55 : x
  2. Step 2: Convert to fraction form
    7,899.94/11,815.05 = 7,028.55/x
  3. Step 3: Cross multiply
    7,899.94x = 11,815.05 × 7,028.55
  4. Step 4: Simplify right side
    7,899.94x = 83,042,681.64
  5. Step 5: Solve for x
    x = 83,042,681.64/7,899.94
  6. Step 6: Final answer
    x = 10,511.82

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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.