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Finding the Fourth Proportional to 12,284.57, 16,947.78 and 7,745.76

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Solution

The fourth proportional to 12,284.57, 16,947.78 and 7,745.76 is: 10,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.57 : 16,947.78 = 7,745.76 : x
  2. Step 2: Convert to fraction form
    12,284.57/16,947.78 = 7,745.76/x
  3. Step 3: Cross multiply
    12,284.57x = 16,947.78 × 7,745.76
  4. Step 4: Simplify right side
    12,284.57x = 131,273,436.41
  5. Step 5: Solve for x
    x = 131,273,436.41/12,284.57
  6. Step 6: Final answer
    x = 10,686.04

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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.