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Finding the Fourth Proportional to 7,842.71, 11,820.43 and 6,760.14

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Solution

The fourth proportional to 7,842.71, 11,820.43 and 6,760.14 is: 10,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.71 : 11,820.43 = 6,760.14 : x
  2. Step 2: Convert to fraction form
    7,842.71/11,820.43 = 6,760.14/x
  3. Step 3: Cross multiply
    7,842.71x = 11,820.43 × 6,760.14
  4. Step 4: Simplify right side
    7,842.71x = 79,907,761.66
  5. Step 5: Solve for x
    x = 79,907,761.66/7,842.71
  6. Step 6: Final answer
    x = 10,188.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.