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Finding the Fourth Proportional to 10,205.44, 15,271.68 and 7,999

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Solution

The fourth proportional to 10,205.44, 15,271.68 and 7,999 is: 11,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.44 : 15,271.68 = 7,999 : x
  2. Step 2: Convert to fraction form
    10,205.44/15,271.68 = 7,999/x
  3. Step 3: Cross multiply
    10,205.44x = 15,271.68 × 7,999
  4. Step 4: Simplify right side
    10,205.44x = 122,158,168.32
  5. Step 5: Solve for x
    x = 122,158,168.32/10,205.44
  6. Step 6: Final answer
    x = 11,969.91

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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.