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Finding the Fourth Proportional to 12,353.40, 18,521.91 and 6,809.40

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Solution

The fourth proportional to 12,353.40, 18,521.91 and 6,809.40 is: 10,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.40 : 18,521.91 = 6,809.40 : x
  2. Step 2: Convert to fraction form
    12,353.40/18,521.91 = 6,809.40/x
  3. Step 3: Cross multiply
    12,353.40x = 18,521.91 × 6,809.40
  4. Step 4: Simplify right side
    12,353.40x = 126,123,093.95
  5. Step 5: Solve for x
    x = 126,123,093.95/12,353.40
  6. Step 6: Final answer
    x = 10,209.59

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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.