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Finding the Fourth Proportional to 21,365.86, 32,048.44 and 8,221.08

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Solution

The fourth proportional to 21,365.86, 32,048.44 and 8,221.08 is: 12,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.86 : 32,048.44 = 8,221.08 : x
  2. Step 2: Convert to fraction form
    21,365.86/32,048.44 = 8,221.08/x
  3. Step 3: Cross multiply
    21,365.86x = 32,048.44 × 8,221.08
  4. Step 4: Simplify right side
    21,365.86x = 263,472,789.12
  5. Step 5: Solve for x
    x = 263,472,789.12/21,365.86
  6. Step 6: Final answer
    x = 12,331.49

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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.