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Finding the Fourth Proportional to 12,895.66, 17,796 and 7,306.66

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Solution

The fourth proportional to 12,895.66, 17,796 and 7,306.66 is: 10,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895.66 : 17,796 = 7,306.66 : x
  2. Step 2: Convert to fraction form
    12,895.66/17,796 = 7,306.66/x
  3. Step 3: Cross multiply
    12,895.66x = 17,796 × 7,306.66
  4. Step 4: Simplify right side
    12,895.66x = 130,029,321.36
  5. Step 5: Solve for x
    x = 130,029,321.36/12,895.66
  6. Step 6: Final answer
    x = 10,083.18

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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.