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Finding the Fourth Proportional to 18,193.80, 27,271.80 and 8,820

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Solution

The fourth proportional to 18,193.80, 27,271.80 and 8,820 is: 13,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,193.80 : 27,271.80 = 8,820 : x
  2. Step 2: Convert to fraction form
    18,193.80/27,271.80 = 8,820/x
  3. Step 3: Cross multiply
    18,193.80x = 27,271.80 × 8,820
  4. Step 4: Simplify right side
    18,193.80x = 240,537,276
  5. Step 5: Solve for x
    x = 240,537,276/18,193.80
  6. Step 6: Final answer
    x = 13,220.84

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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.