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Finding the Fourth Proportional to 12,687, 17,508.06 and 7,098

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Solution

The fourth proportional to 12,687, 17,508.06 and 7,098 is: 9,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687 : 17,508.06 = 7,098 : x
  2. Step 2: Convert to fraction form
    12,687/17,508.06 = 7,098/x
  3. Step 3: Cross multiply
    12,687x = 17,508.06 × 7,098
  4. Step 4: Simplify right side
    12,687x = 124,272,209.88
  5. Step 5: Solve for x
    x = 124,272,209.88/12,687
  6. Step 6: Final answer
    x = 9,795.24

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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.