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Finding the Fourth Proportional to 12,698, 17,523.24 and 7,730

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Solution

The fourth proportional to 12,698, 17,523.24 and 7,730 is: 10,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698 : 17,523.24 = 7,730 : x
  2. Step 2: Convert to fraction form
    12,698/17,523.24 = 7,730/x
  3. Step 3: Cross multiply
    12,698x = 17,523.24 × 7,730
  4. Step 4: Simplify right side
    12,698x = 135,454,645.20
  5. Step 5: Solve for x
    x = 135,454,645.20/12,698
  6. Step 6: Final answer
    x = 10,667.40

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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.