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Finding the Fourth Proportional to 18,543.60, 27,821.88 and 12,328.20

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Solution

The fourth proportional to 18,543.60, 27,821.88 and 12,328.20 is: 18,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.60 : 27,821.88 = 12,328.20 : x
  2. Step 2: Convert to fraction form
    18,543.60/27,821.88 = 12,328.20/x
  3. Step 3: Cross multiply
    18,543.60x = 27,821.88 × 12,328.20
  4. Step 4: Simplify right side
    18,543.60x = 342,993,701.02
  5. Step 5: Solve for x
    x = 342,993,701.02/18,543.60
  6. Step 6: Final answer
    x = 18,496.61

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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.