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Finding the Fourth Proportional to 12,354, 17,048.68 and 6,764.88

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Solution

The fourth proportional to 12,354, 17,048.68 and 6,764.88 is: 9,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354 : 17,048.68 = 6,764.88 : x
  2. Step 2: Convert to fraction form
    12,354/17,048.68 = 6,764.88/x
  3. Step 3: Cross multiply
    12,354x = 17,048.68 × 6,764.88
  4. Step 4: Simplify right side
    12,354x = 115,332,274.36
  5. Step 5: Solve for x
    x = 115,332,274.36/12,354
  6. Step 6: Final answer
    x = 9,335.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.