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Finding the Fourth Proportional to 19,661.48, 29,492.04 and 7,971.92

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Solution

The fourth proportional to 19,661.48, 29,492.04 and 7,971.92 is: 11,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.48 : 29,492.04 = 7,971.92 : x
  2. Step 2: Convert to fraction form
    19,661.48/29,492.04 = 7,971.92/x
  3. Step 3: Cross multiply
    19,661.48x = 29,492.04 × 7,971.92
  4. Step 4: Simplify right side
    19,661.48x = 235,108,183.52
  5. Step 5: Solve for x
    x = 235,108,183.52/19,661.48
  6. Step 6: Final answer
    x = 11,957.81

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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.