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Finding the Fourth Proportional to 20,999.75, 31,499.63 and 7,148.75

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Solution

The fourth proportional to 20,999.75, 31,499.63 and 7,148.75 is: 10,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.75 : 31,499.63 = 7,148.75 : x
  2. Step 2: Convert to fraction form
    20,999.75/31,499.63 = 7,148.75/x
  3. Step 3: Cross multiply
    20,999.75x = 31,499.63 × 7,148.75
  4. Step 4: Simplify right side
    20,999.75x = 225,182,979.96
  5. Step 5: Solve for x
    x = 225,182,979.96/20,999.75
  6. Step 6: Final answer
    x = 10,723.13

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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.