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Finding the Fourth Proportional to 27,983.94, 41,980.86 and 9,258.90

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Solution

The fourth proportional to 27,983.94, 41,980.86 and 9,258.90 is: 13,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.94 : 41,980.86 = 9,258.90 : x
  2. Step 2: Convert to fraction form
    27,983.94/41,980.86 = 9,258.90/x
  3. Step 3: Cross multiply
    27,983.94x = 41,980.86 × 9,258.90
  4. Step 4: Simplify right side
    27,983.94x = 388,696,584.65
  5. Step 5: Solve for x
    x = 388,696,584.65/27,983.94
  6. Step 6: Final answer
    x = 13,889.99

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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.