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Finding the Fourth Proportional to 12,174, 16,801.44 and 7,457.28

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Solution

The fourth proportional to 12,174, 16,801.44 and 7,457.28 is: 10,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174 : 16,801.44 = 7,457.28 : x
  2. Step 2: Convert to fraction form
    12,174/16,801.44 = 7,457.28/x
  3. Step 3: Cross multiply
    12,174x = 16,801.44 × 7,457.28
  4. Step 4: Simplify right side
    12,174x = 125,293,042.48
  5. Step 5: Solve for x
    x = 125,293,042.48/12,174
  6. Step 6: Final answer
    x = 10,291.85

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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.