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Finding the Fourth Proportional to 7,862, 10,852 and 5,067.50

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Solution

The fourth proportional to 7,862, 10,852 and 5,067.50 is: 6,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862 : 10,852 = 5,067.50 : x
  2. Step 2: Convert to fraction form
    7,862/10,852 = 5,067.50/x
  3. Step 3: Cross multiply
    7,862x = 10,852 × 5,067.50
  4. Step 4: Simplify right side
    7,862x = 54,992,510
  5. Step 5: Solve for x
    x = 54,992,510/7,862
  6. Step 6: Final answer
    x = 6,994.72

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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.