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Finding the Fourth Proportional to 18,273.12, 27,416.69 and 6,428.12

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Solution

The fourth proportional to 18,273.12, 27,416.69 and 6,428.12 is: 9,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,273.12 : 27,416.69 = 6,428.12 : x
  2. Step 2: Convert to fraction form
    18,273.12/27,416.69 = 6,428.12/x
  3. Step 3: Cross multiply
    18,273.12x = 27,416.69 × 6,428.12
  4. Step 4: Simplify right side
    18,273.12x = 176,237,830.02
  5. Step 5: Solve for x
    x = 176,237,830.02/18,273.12
  6. Step 6: Final answer
    x = 9,644.65

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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.