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Finding the Fourth Proportional to 12,774.62, 17,617.64 and 8,294.12

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Solution

The fourth proportional to 12,774.62, 17,617.64 and 8,294.12 is: 11,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.62 : 17,617.64 = 8,294.12 : x
  2. Step 2: Convert to fraction form
    12,774.62/17,617.64 = 8,294.12/x
  3. Step 3: Cross multiply
    12,774.62x = 17,617.64 × 8,294.12
  4. Step 4: Simplify right side
    12,774.62x = 146,122,820.28
  5. Step 5: Solve for x
    x = 146,122,820.28/12,774.62
  6. Step 6: Final answer
    x = 11,438.53

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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.