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Finding the Fourth Proportional to 8,150, 11,218.44 and 7,100.24

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Solution

The fourth proportional to 8,150, 11,218.44 and 7,100.24 is: 9,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150 : 11,218.44 = 7,100.24 : x
  2. Step 2: Convert to fraction form
    8,150/11,218.44 = 7,100.24/x
  3. Step 3: Cross multiply
    8,150x = 11,218.44 × 7,100.24
  4. Step 4: Simplify right side
    8,150x = 79,653,616.43
  5. Step 5: Solve for x
    x = 79,653,616.43/8,150
  6. Step 6: Final answer
    x = 9,773.45

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1.5x scale

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.