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Finding the Fourth Proportional to 18,969.84, 28,431.72 and 13,424.80

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Solution

The fourth proportional to 18,969.84, 28,431.72 and 13,424.80 is: 20,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969.84 : 28,431.72 = 13,424.80 : x
  2. Step 2: Convert to fraction form
    18,969.84/28,431.72 = 13,424.80/x
  3. Step 3: Cross multiply
    18,969.84x = 28,431.72 × 13,424.80
  4. Step 4: Simplify right side
    18,969.84x = 381,690,154.66
  5. Step 5: Solve for x
    x = 381,690,154.66/18,969.84
  6. Step 6: Final answer
    x = 20,120.89

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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.