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Finding the Fourth Proportional to 27,778.40, 41,670.24 and 7,787.88

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Solution

The fourth proportional to 27,778.40, 41,670.24 and 7,787.88 is: 11,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.40 : 41,670.24 = 7,787.88 : x
  2. Step 2: Convert to fraction form
    27,778.40/41,670.24 = 7,787.88/x
  3. Step 3: Cross multiply
    27,778.40x = 41,670.24 × 7,787.88
  4. Step 4: Simplify right side
    27,778.40x = 324,522,828.69
  5. Step 5: Solve for x
    x = 324,522,828.69/27,778.40
  6. Step 6: Final answer
    x = 11,682.56

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1.5x scale

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.