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Finding the Fourth Proportional to 13,493.23, 18,623.07 and 8,461.80

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Solution

The fourth proportional to 13,493.23, 18,623.07 and 8,461.80 is: 11,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.23 : 18,623.07 = 8,461.80 : x
  2. Step 2: Convert to fraction form
    13,493.23/18,623.07 = 8,461.80/x
  3. Step 3: Cross multiply
    13,493.23x = 18,623.07 × 8,461.80
  4. Step 4: Simplify right side
    13,493.23x = 157,584,693.73
  5. Step 5: Solve for x
    x = 157,584,693.73/13,493.23
  6. Step 6: Final answer
    x = 11,678.80

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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.