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Finding the Fourth Proportional to 13,684.80, 18,885.15 and 8,022.90

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Solution

The fourth proportional to 13,684.80, 18,885.15 and 8,022.90 is: 11,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.80 : 18,885.15 = 8,022.90 : x
  2. Step 2: Convert to fraction form
    13,684.80/18,885.15 = 8,022.90/x
  3. Step 3: Cross multiply
    13,684.80x = 18,885.15 × 8,022.90
  4. Step 4: Simplify right side
    13,684.80x = 151,513,615.26
  5. Step 5: Solve for x
    x = 151,513,615.26/13,684.80
  6. Step 6: Final answer
    x = 11,071.68

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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.