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Finding the Fourth Proportional to 12,874.99, 19,278.63 and 10,362.80

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Solution

The fourth proportional to 12,874.99, 19,278.63 and 10,362.80 is: 15,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.99 : 19,278.63 = 10,362.80 : x
  2. Step 2: Convert to fraction form
    12,874.99/19,278.63 = 10,362.80/x
  3. Step 3: Cross multiply
    12,874.99x = 19,278.63 × 10,362.80
  4. Step 4: Simplify right side
    12,874.99x = 199,780,586.96
  5. Step 5: Solve for x
    x = 199,780,586.96/12,874.99
  6. Step 6: Final answer
    x = 15,516.95

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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.