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Finding the Fourth Proportional to 12,914, 17,821.64 and 7,026

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Solution

The fourth proportional to 12,914, 17,821.64 and 7,026 is: 9,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914 : 17,821.64 = 7,026 : x
  2. Step 2: Convert to fraction form
    12,914/17,821.64 = 7,026/x
  3. Step 3: Cross multiply
    12,914x = 17,821.64 × 7,026
  4. Step 4: Simplify right side
    12,914x = 125,214,842.64
  5. Step 5: Solve for x
    x = 125,214,842.64/12,914
  6. Step 6: Final answer
    x = 9,696.05

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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.