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Finding the Fourth Proportional to 12,380.93, 17,087.86 and 7,347.92

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Solution

The fourth proportional to 12,380.93, 17,087.86 and 7,347.92 is: 10,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.93 : 17,087.86 = 7,347.92 : x
  2. Step 2: Convert to fraction form
    12,380.93/17,087.86 = 7,347.92/x
  3. Step 3: Cross multiply
    12,380.93x = 17,087.86 × 7,347.92
  4. Step 4: Simplify right side
    12,380.93x = 125,560,228.25
  5. Step 5: Solve for x
    x = 125,560,228.25/12,380.93
  6. Step 6: Final answer
    x = 10,141.42

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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.