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Finding the Fourth Proportional to 20,999.50, 31,502.49 and 7,853.74

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Solution

The fourth proportional to 20,999.50, 31,502.49 and 7,853.74 is: 11,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.50 : 31,502.49 = 7,853.74 : x
  2. Step 2: Convert to fraction form
    20,999.50/31,502.49 = 7,853.74/x
  3. Step 3: Cross multiply
    20,999.50x = 31,502.49 × 7,853.74
  4. Step 4: Simplify right side
    20,999.50x = 247,412,365.81
  5. Step 5: Solve for x
    x = 247,412,365.81/20,999.50
  6. Step 6: Final answer
    x = 11,781.82

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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.