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Finding the Fourth Proportional to 9,137.70, 13,706.55 and 8,187.30

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Solution

The fourth proportional to 9,137.70, 13,706.55 and 8,187.30 is: 12,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.70 : 13,706.55 = 8,187.30 : x
  2. Step 2: Convert to fraction form
    9,137.70/13,706.55 = 8,187.30/x
  3. Step 3: Cross multiply
    9,137.70x = 13,706.55 × 8,187.30
  4. Step 4: Simplify right side
    9,137.70x = 112,219,636.82
  5. Step 5: Solve for x
    x = 112,219,636.82/9,137.70
  6. Step 6: Final answer
    x = 12,280.95

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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.