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Finding the Fourth Proportional to 15,419, 21,278.28 and 8,345.42

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Solution

The fourth proportional to 15,419, 21,278.28 and 8,345.42 is: 11,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419 : 21,278.28 = 8,345.42 : x
  2. Step 2: Convert to fraction form
    15,419/21,278.28 = 8,345.42/x
  3. Step 3: Cross multiply
    15,419x = 21,278.28 × 8,345.42
  4. Step 4: Simplify right side
    15,419x = 177,576,183.48
  5. Step 5: Solve for x
    x = 177,576,183.48/15,419
  6. Step 6: Final answer
    x = 11,516.71

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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.