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Finding the Fourth Proportional to 21,727.72, 32,580.06 and 9,409

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Solution

The fourth proportional to 21,727.72, 32,580.06 and 9,409 is: 14,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,727.72 : 32,580.06 = 9,409 : x
  2. Step 2: Convert to fraction form
    21,727.72/32,580.06 = 9,409/x
  3. Step 3: Cross multiply
    21,727.72x = 32,580.06 × 9,409
  4. Step 4: Simplify right side
    21,727.72x = 306,545,784.54
  5. Step 5: Solve for x
    x = 306,545,784.54/21,727.72
  6. Step 6: Final answer
    x = 14,108.51

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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.