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Finding the Fourth Proportional to 12,466.78, 17,204.68 and 7,087.74

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Solution

The fourth proportional to 12,466.78, 17,204.68 and 7,087.74 is: 9,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.78 : 17,204.68 = 7,087.74 : x
  2. Step 2: Convert to fraction form
    12,466.78/17,204.68 = 7,087.74/x
  3. Step 3: Cross multiply
    12,466.78x = 17,204.68 × 7,087.74
  4. Step 4: Simplify right side
    12,466.78x = 121,942,298.62
  5. Step 5: Solve for x
    x = 121,942,298.62/12,466.78
  6. Step 6: Final answer
    x = 9,781.38

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1.5x scale

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.