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Finding the Fourth Proportional to 12,161.80, 16,785.89 and 7,682.70

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Solution

The fourth proportional to 12,161.80, 16,785.89 and 7,682.70 is: 10,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.80 : 16,785.89 = 7,682.70 : x
  2. Step 2: Convert to fraction form
    12,161.80/16,785.89 = 7,682.70/x
  3. Step 3: Cross multiply
    12,161.80x = 16,785.89 × 7,682.70
  4. Step 4: Simplify right side
    12,161.80x = 128,960,947.50
  5. Step 5: Solve for x
    x = 128,960,947.50/12,161.80
  6. Step 6: Final answer
    x = 10,603.77

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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.