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Finding the Fourth Proportional to 12,796, 17,658.22 and 7,130.73

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Solution

The fourth proportional to 12,796, 17,658.22 and 7,130.73 is: 9,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796 : 17,658.22 = 7,130.73 : x
  2. Step 2: Convert to fraction form
    12,796/17,658.22 = 7,130.73/x
  3. Step 3: Cross multiply
    12,796x = 17,658.22 × 7,130.73
  4. Step 4: Simplify right side
    12,796x = 125,915,999.10
  5. Step 5: Solve for x
    x = 125,915,999.10/12,796
  6. Step 6: Final answer
    x = 9,840.26

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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.