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Finding the Fourth Proportional to 18,544.78, 27,820.80 and 8,156.50

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Solution

The fourth proportional to 18,544.78, 27,820.80 and 8,156.50 is: 12,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,544.78 : 27,820.80 = 8,156.50 : x
  2. Step 2: Convert to fraction form
    18,544.78/27,820.80 = 8,156.50/x
  3. Step 3: Cross multiply
    18,544.78x = 27,820.80 × 8,156.50
  4. Step 4: Simplify right side
    18,544.78x = 226,920,355.20
  5. Step 5: Solve for x
    x = 226,920,355.20/18,544.78
  6. Step 6: Final answer
    x = 12,236.35

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1.5x scale

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.