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Finding the Fourth Proportional to 19,474.30, 29,199.78 and 8,931.12

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Solution

The fourth proportional to 19,474.30, 29,199.78 and 8,931.12 is: 13,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.30 : 29,199.78 = 8,931.12 : x
  2. Step 2: Convert to fraction form
    19,474.30/29,199.78 = 8,931.12/x
  3. Step 3: Cross multiply
    19,474.30x = 29,199.78 × 8,931.12
  4. Step 4: Simplify right side
    19,474.30x = 260,786,604.54
  5. Step 5: Solve for x
    x = 260,786,604.54/19,474.30
  6. Step 6: Final answer
    x = 13,391.32

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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.