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Finding the Fourth Proportional to 21,509.51, 32,251.91 and 8,346.51

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Solution

The fourth proportional to 21,509.51, 32,251.91 and 8,346.51 is: 12,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.51 : 32,251.91 = 8,346.51 : x
  2. Step 2: Convert to fraction form
    21,509.51/32,251.91 = 8,346.51/x
  3. Step 3: Cross multiply
    21,509.51x = 32,251.91 × 8,346.51
  4. Step 4: Simplify right side
    21,509.51x = 269,190,847.60
  5. Step 5: Solve for x
    x = 269,190,847.60/21,509.51
  6. Step 6: Final answer
    x = 12,514.97

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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.