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Finding the Fourth Proportional to 12,929, 19,393.50 and 4,164.80

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Solution

The fourth proportional to 12,929, 19,393.50 and 4,164.80 is: 6,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929 : 19,393.50 = 4,164.80 : x
  2. Step 2: Convert to fraction form
    12,929/19,393.50 = 4,164.80/x
  3. Step 3: Cross multiply
    12,929x = 19,393.50 × 4,164.80
  4. Step 4: Simplify right side
    12,929x = 80,770,048.80
  5. Step 5: Solve for x
    x = 80,770,048.80/12,929
  6. Step 6: Final answer
    x = 6,247.20

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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.