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Finding the Fourth Proportional to 9,137.80, 13,706.70 and 8,117.20

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Solution

The fourth proportional to 9,137.80, 13,706.70 and 8,117.20 is: 12,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.80 : 13,706.70 = 8,117.20 : x
  2. Step 2: Convert to fraction form
    9,137.80/13,706.70 = 8,117.20/x
  3. Step 3: Cross multiply
    9,137.80x = 13,706.70 × 8,117.20
  4. Step 4: Simplify right side
    9,137.80x = 111,260,025.24
  5. Step 5: Solve for x
    x = 111,260,025.24/9,137.80
  6. Step 6: Final answer
    x = 12,175.80

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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.