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Finding the Fourth Proportional to 18,570.10, 27,879.87 and 10,784.50

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Solution

The fourth proportional to 18,570.10, 27,879.87 and 10,784.50 is: 16,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570.10 : 27,879.87 = 10,784.50 : x
  2. Step 2: Convert to fraction form
    18,570.10/27,879.87 = 10,784.50/x
  3. Step 3: Cross multiply
    18,570.10x = 27,879.87 × 10,784.50
  4. Step 4: Simplify right side
    18,570.10x = 300,670,458.02
  5. Step 5: Solve for x
    x = 300,670,458.02/18,570.10
  6. Step 6: Final answer
    x = 16,191.11

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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.