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Finding the Fourth Proportional to 16,191.40, 24,297.90 and 9,171.40

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Solution

The fourth proportional to 16,191.40, 24,297.90 and 9,171.40 is: 13,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.40 : 24,297.90 = 9,171.40 : x
  2. Step 2: Convert to fraction form
    16,191.40/24,297.90 = 9,171.40/x
  3. Step 3: Cross multiply
    16,191.40x = 24,297.90 × 9,171.40
  4. Step 4: Simplify right side
    16,191.40x = 222,845,760.06
  5. Step 5: Solve for x
    x = 222,845,760.06/16,191.40
  6. Step 6: Final answer
    x = 13,763.22

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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.