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Finding the Fourth Proportional to 18,458.84, 27,696.00 and 7,931.16

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Solution

The fourth proportional to 18,458.84, 27,696.00 and 7,931.16 is: 11,900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,458.84 : 27,696.00 = 7,931.16 : x
  2. Step 2: Convert to fraction form
    18,458.84/27,696.00 = 7,931.16/x
  3. Step 3: Cross multiply
    18,458.84x = 27,696.00 × 7,931.16
  4. Step 4: Simplify right side
    18,458.84x = 219,661,456.77
  5. Step 5: Solve for x
    x = 219,661,456.77/18,458.84
  6. Step 6: Final answer
    x = 11,900.07

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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.