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Finding the Fourth Proportional to 12,929, 17,842.02 and 7,341.80

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Solution

The fourth proportional to 12,929, 17,842.02 and 7,341.80 is: 10,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929 : 17,842.02 = 7,341.80 : x
  2. Step 2: Convert to fraction form
    12,929/17,842.02 = 7,341.80/x
  3. Step 3: Cross multiply
    12,929x = 17,842.02 × 7,341.80
  4. Step 4: Simplify right side
    12,929x = 130,992,542.44
  5. Step 5: Solve for x
    x = 130,992,542.44/12,929
  6. Step 6: Final answer
    x = 10,131.68

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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.