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Finding the Fourth Proportional to 12,805.62, 19,215.72 and 10,224.96

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Solution

The fourth proportional to 12,805.62, 19,215.72 and 10,224.96 is: 15,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.62 : 19,215.72 = 10,224.96 : x
  2. Step 2: Convert to fraction form
    12,805.62/19,215.72 = 10,224.96/x
  3. Step 3: Cross multiply
    12,805.62x = 19,215.72 × 10,224.96
  4. Step 4: Simplify right side
    12,805.62x = 196,479,821.17
  5. Step 5: Solve for x
    x = 196,479,821.17/12,805.62
  6. Step 6: Final answer
    x = 15,343.26

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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.