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Finding the Fourth Proportional to 12,272.40, 18,389.70 and 9,137.70

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Solution

The fourth proportional to 12,272.40, 18,389.70 and 9,137.70 is: 13,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.40 : 18,389.70 = 9,137.70 : x
  2. Step 2: Convert to fraction form
    12,272.40/18,389.70 = 9,137.70/x
  3. Step 3: Cross multiply
    12,272.40x = 18,389.70 × 9,137.70
  4. Step 4: Simplify right side
    12,272.40x = 168,039,561.69
  5. Step 5: Solve for x
    x = 168,039,561.69/12,272.40
  6. Step 6: Final answer
    x = 13,692.48

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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.