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Finding the Fourth Proportional to 13,294.62, 18,324.09 and 9,308.61

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Solution

The fourth proportional to 13,294.62, 18,324.09 and 9,308.61 is: 12,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.62 : 18,324.09 = 9,308.61 : x
  2. Step 2: Convert to fraction form
    13,294.62/18,324.09 = 9,308.61/x
  3. Step 3: Cross multiply
    13,294.62x = 18,324.09 × 9,308.61
  4. Step 4: Simplify right side
    13,294.62x = 170,571,807.41
  5. Step 5: Solve for x
    x = 170,571,807.41/13,294.62
  6. Step 6: Final answer
    x = 12,830.14

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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.