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Finding the Fourth Proportional to 12,466.40, 17,203.38 and 7,161.08

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Solution

The fourth proportional to 12,466.40, 17,203.38 and 7,161.08 is: 9,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.40 : 17,203.38 = 7,161.08 : x
  2. Step 2: Convert to fraction form
    12,466.40/17,203.38 = 7,161.08/x
  3. Step 3: Cross multiply
    12,466.40x = 17,203.38 × 7,161.08
  4. Step 4: Simplify right side
    12,466.40x = 123,194,780.45
  5. Step 5: Solve for x
    x = 123,194,780.45/12,466.40
  6. Step 6: Final answer
    x = 9,882.15

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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.