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Finding the Fourth Proportional to 12,670.85, 18,996.59 and 7,672.14

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Solution

The fourth proportional to 12,670.85, 18,996.59 and 7,672.14 is: 11,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.85 : 18,996.59 = 7,672.14 : x
  2. Step 2: Convert to fraction form
    12,670.85/18,996.59 = 7,672.14/x
  3. Step 3: Cross multiply
    12,670.85x = 18,996.59 × 7,672.14
  4. Step 4: Simplify right side
    12,670.85x = 145,744,517.18
  5. Step 5: Solve for x
    x = 145,744,517.18/12,670.85
  6. Step 6: Final answer
    x = 11,502.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.