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Finding the Fourth Proportional to 12,617.45, 18,947.18 and 7,884.57

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Solution

The fourth proportional to 12,617.45, 18,947.18 and 7,884.57 is: 11,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.45 : 18,947.18 = 7,884.57 : x
  2. Step 2: Convert to fraction form
    12,617.45/18,947.18 = 7,884.57/x
  3. Step 3: Cross multiply
    12,617.45x = 18,947.18 × 7,884.57
  4. Step 4: Simplify right side
    12,617.45x = 149,390,367.01
  5. Step 5: Solve for x
    x = 149,390,367.01/12,617.45
  6. Step 6: Final answer
    x = 11,839.98

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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.