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Finding the Fourth Proportional to 9,137, 12,609.06 and 5,411

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Solution

The fourth proportional to 9,137, 12,609.06 and 5,411 is: 7,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137 : 12,609.06 = 5,411 : x
  2. Step 2: Convert to fraction form
    9,137/12,609.06 = 5,411/x
  3. Step 3: Cross multiply
    9,137x = 12,609.06 × 5,411
  4. Step 4: Simplify right side
    9,137x = 68,227,623.66
  5. Step 5: Solve for x
    x = 68,227,623.66/9,137
  6. Step 6: Final answer
    x = 7,467.18

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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.