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Finding the Fourth Proportional to 15,419, 21,278.22 and 8,345.48

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Solution

The fourth proportional to 15,419, 21,278.22 and 8,345.48 is: 11,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419 : 21,278.22 = 8,345.48 : x
  2. Step 2: Convert to fraction form
    15,419/21,278.22 = 8,345.48/x
  3. Step 3: Cross multiply
    15,419x = 21,278.22 × 8,345.48
  4. Step 4: Simplify right side
    15,419x = 177,576,959.45
  5. Step 5: Solve for x
    x = 177,576,959.45/15,419
  6. Step 6: Final answer
    x = 11,516.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.