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Finding the Fourth Proportional to 18,501.60, 27,766.98 and 6,823.02

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Solution

The fourth proportional to 18,501.60, 27,766.98 and 6,823.02 is: 10,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,501.60 : 27,766.98 = 6,823.02 : x
  2. Step 2: Convert to fraction form
    18,501.60/27,766.98 = 6,823.02/x
  3. Step 3: Cross multiply
    18,501.60x = 27,766.98 × 6,823.02
  4. Step 4: Simplify right side
    18,501.60x = 189,454,659.88
  5. Step 5: Solve for x
    x = 189,454,659.88/18,501.60
  6. Step 6: Final answer
    x = 10,239.91

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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.