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Finding the Fourth Proportional to 20,917.48, 31,380.06 and 8,437.48

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Solution

The fourth proportional to 20,917.48, 31,380.06 and 8,437.48 is: 12,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917.48 : 31,380.06 = 8,437.48 : x
  2. Step 2: Convert to fraction form
    20,917.48/31,380.06 = 8,437.48/x
  3. Step 3: Cross multiply
    20,917.48x = 31,380.06 × 8,437.48
  4. Step 4: Simplify right side
    20,917.48x = 264,768,628.65
  5. Step 5: Solve for x
    x = 264,768,628.65/20,917.48
  6. Step 6: Final answer
    x = 12,657.77

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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.