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Finding the Fourth Proportional to 12,324.40, 18,467.70 and 9,189.70

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Solution

The fourth proportional to 12,324.40, 18,467.70 and 9,189.70 is: 13,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.40 : 18,467.70 = 9,189.70 : x
  2. Step 2: Convert to fraction form
    12,324.40/18,467.70 = 9,189.70/x
  3. Step 3: Cross multiply
    12,324.40x = 18,467.70 × 9,189.70
  4. Step 4: Simplify right side
    12,324.40x = 169,712,622.69
  5. Step 5: Solve for x
    x = 169,712,622.69/12,324.40
  6. Step 6: Final answer
    x = 13,770.46

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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.