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Finding the Fourth Proportional to 15,072.80, 20,817.49 and 10,284.54

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Solution

The fourth proportional to 15,072.80, 20,817.49 and 10,284.54 is: 14,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.80 : 20,817.49 = 10,284.54 : x
  2. Step 2: Convert to fraction form
    15,072.80/20,817.49 = 10,284.54/x
  3. Step 3: Cross multiply
    15,072.80x = 20,817.49 × 10,284.54
  4. Step 4: Simplify right side
    15,072.80x = 214,098,224.11
  5. Step 5: Solve for x
    x = 214,098,224.11/15,072.80
  6. Step 6: Final answer
    x = 14,204.28

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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.