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Finding the Fourth Proportional to 11,671.50, 16,106.50 and 6,366.20

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Solution

The fourth proportional to 11,671.50, 16,106.50 and 6,366.20 is: 8,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.50 : 16,106.50 = 6,366.20 : x
  2. Step 2: Convert to fraction form
    11,671.50/16,106.50 = 6,366.20/x
  3. Step 3: Cross multiply
    11,671.50x = 16,106.50 × 6,366.20
  4. Step 4: Simplify right side
    11,671.50x = 102,537,200.30
  5. Step 5: Solve for x
    x = 102,537,200.30/11,671.50
  6. Step 6: Final answer
    x = 8,785.26

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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.