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Finding the Fourth Proportional to 12,605, 17,399.22 and 7,637

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Solution

The fourth proportional to 12,605, 17,399.22 and 7,637 is: 10,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605 : 17,399.22 = 7,637 : x
  2. Step 2: Convert to fraction form
    12,605/17,399.22 = 7,637/x
  3. Step 3: Cross multiply
    12,605x = 17,399.22 × 7,637
  4. Step 4: Simplify right side
    12,605x = 132,877,843.14
  5. Step 5: Solve for x
    x = 132,877,843.14/12,605
  6. Step 6: Final answer
    x = 10,541.68

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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.