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Finding the Fourth Proportional to 27,764.88, 41,647.84 and 12,969.76

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Solution

The fourth proportional to 27,764.88, 41,647.84 and 12,969.76 is: 19,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.88 : 41,647.84 = 12,969.76 : x
  2. Step 2: Convert to fraction form
    27,764.88/41,647.84 = 12,969.76/x
  3. Step 3: Cross multiply
    27,764.88x = 41,647.84 × 12,969.76
  4. Step 4: Simplify right side
    27,764.88x = 540,162,489.32
  5. Step 5: Solve for x
    x = 540,162,489.32/27,764.88
  6. Step 6: Final answer
    x = 19,454.88

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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.