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Finding the Fourth Proportional to 12,914, 17,819.08 and 7,608.40

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Solution

The fourth proportional to 12,914, 17,819.08 and 7,608.40 is: 10,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914 : 17,819.08 = 7,608.40 : x
  2. Step 2: Convert to fraction form
    12,914/17,819.08 = 7,608.40/x
  3. Step 3: Cross multiply
    12,914x = 17,819.08 × 7,608.40
  4. Step 4: Simplify right side
    12,914x = 135,574,688.27
  5. Step 5: Solve for x
    x = 135,574,688.27/12,914
  6. Step 6: Final answer
    x = 10,498.27

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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.