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Finding the Fourth Proportional to 12,711, 17,540.88 and 7,679.40

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Solution

The fourth proportional to 12,711, 17,540.88 and 7,679.40 is: 10,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711 : 17,540.88 = 7,679.40 : x
  2. Step 2: Convert to fraction form
    12,711/17,540.88 = 7,679.40/x
  3. Step 3: Cross multiply
    12,711x = 17,540.88 × 7,679.40
  4. Step 4: Simplify right side
    12,711x = 134,703,433.87
  5. Step 5: Solve for x
    x = 134,703,433.87/12,711
  6. Step 6: Final answer
    x = 10,597.39

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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.