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Finding the Fourth Proportional to 18,360.30, 27,544 and 7,830.15

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Solution

The fourth proportional to 18,360.30, 27,544 and 7,830.15 is: 11,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,360.30 : 27,544 = 7,830.15 : x
  2. Step 2: Convert to fraction form
    18,360.30/27,544 = 7,830.15/x
  3. Step 3: Cross multiply
    18,360.30x = 27,544 × 7,830.15
  4. Step 4: Simplify right side
    18,360.30x = 215,673,651.60
  5. Step 5: Solve for x
    x = 215,673,651.60/18,360.30
  6. Step 6: Final answer
    x = 11,746.74

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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.