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Finding the Fourth Proportional to 27,409.40, 41,120.85 and 7,687.70

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Solution

The fourth proportional to 27,409.40, 41,120.85 and 7,687.70 is: 11,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.40 : 41,120.85 = 7,687.70 : x
  2. Step 2: Convert to fraction form
    27,409.40/41,120.85 = 7,687.70/x
  3. Step 3: Cross multiply
    27,409.40x = 41,120.85 × 7,687.70
  4. Step 4: Simplify right side
    27,409.40x = 316,124,758.55
  5. Step 5: Solve for x
    x = 316,124,758.55/27,409.40
  6. Step 6: Final answer
    x = 11,533.44

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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.