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Finding the Fourth Proportional to 13,128, 19,695.24 and 3,894

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Solution

The fourth proportional to 13,128, 19,695.24 and 3,894 is: 5,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128 : 19,695.24 = 3,894 : x
  2. Step 2: Convert to fraction form
    13,128/19,695.24 = 3,894/x
  3. Step 3: Cross multiply
    13,128x = 19,695.24 × 3,894
  4. Step 4: Simplify right side
    13,128x = 76,693,264.56
  5. Step 5: Solve for x
    x = 76,693,264.56/13,128
  6. Step 6: Final answer
    x = 5,841.96

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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.